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Finding the Third Proportional to 1,692,687,984 and 2,614,496,112

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Solution

The third proportional to 1,692,687,984 and 2,614,496,112 is: 4,038,304,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,687,984 : 2,614,496,112 = 2,614,496,112 : x
  2. Step 2: Convert to fraction form
    1,692,687,984/2,614,496,112 = 2,614,496,112/x
  3. Step 3: Cross multiply
    1,692,687,984x = 2,614,496,112 × 2,614,496,112
  4. Step 4: Simplify right side
    1,692,687,984x = 6,835,589,919,663,116,288
  5. Step 5: Solve for x
    x = 6,835,589,919,663,116,288/1,692,687,984
  6. Step 6: Final answer
    x = 4,038,304,746.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.