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Finding the Third Proportional to 748,692,792 and 1,615,763,944

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Solution

The third proportional to 748,692,792 and 1,615,763,944 is: 3,487,001,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,692,792 : 1,615,763,944 = 1,615,763,944 : x
  2. Step 2: Convert to fraction form
    748,692,792/1,615,763,944 = 1,615,763,944/x
  3. Step 3: Cross multiply
    748,692,792x = 1,615,763,944 × 1,615,763,944
  4. Step 4: Simplify right side
    748,692,792x = 2,610,693,122,730,435,072
  5. Step 5: Solve for x
    x = 2,610,693,122,730,435,072/748,692,792
  6. Step 6: Final answer
    x = 3,487,001,812.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.