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Finding the Third Proportional to 730,144,442,664 and 1,560,771,632,592

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Solution

The third proportional to 730,144,442,664 and 1,560,771,632,592 is: 3,336,337,232,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,144,442,664 : 1,560,771,632,592 = 1,560,771,632,592 : x
  2. Step 2: Convert to fraction form
    730,144,442,664/1,560,771,632,592 = 1,560,771,632,592/x
  3. Step 3: Cross multiply
    730,144,442,664x = 1,560,771,632,592 × 1,560,771,632,592
  4. Step 4: Simplify right side
    730,144,442,664x = 2,436,008,089,103,897,160,843,264
  5. Step 5: Solve for x
    x = 2,436,008,089,103,897,160,843,264/730,144,442,664
  6. Step 6: Final answer
    x = 3,336,337,232,419.24

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