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Finding the Third Proportional to 8,833,436,101,783.80 and 19,330,897,932,984

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Solution

The third proportional to 8,833,436,101,783.80 and 19,330,897,932,984 is: 42,303,313,296,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833,436,101,783.80 : 19,330,897,932,984 = 19,330,897,932,984 : x
  2. Step 2: Convert to fraction form
    8,833,436,101,783.80/19,330,897,932,984 = 19,330,897,932,984/x
  3. Step 3: Cross multiply
    8,833,436,101,783.80x = 19,330,897,932,984 × 19,330,897,932,984
  4. Step 4: Simplify right side
    8,833,436,101,783.80x = 373,683,614,895,445,052,737,191,936
  5. Step 5: Solve for x
    x = 373,683,614,895,445,052,737,191,936/8,833,436,101,783.80
  6. Step 6: Final answer
    x = 42,303,313,296,168.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.