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Finding the Third Proportional to 21,224,619,560 and 45,430,793,728

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Solution

The third proportional to 21,224,619,560 and 45,430,793,728 is: 97,243,534,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224,619,560 : 45,430,793,728 = 45,430,793,728 : x
  2. Step 2: Convert to fraction form
    21,224,619,560/45,430,793,728 = 45,430,793,728/x
  3. Step 3: Cross multiply
    21,224,619,560x = 45,430,793,728 × 45,430,793,728
  4. Step 4: Simplify right side
    21,224,619,560x = 2,063,957,018,756,084,137,984
  5. Step 5: Solve for x
    x = 2,063,957,018,756,084,137,984/21,224,619,560
  6. Step 6: Final answer
    x = 97,243,534,232.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.