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Finding the Third Proportional to 748,692,800 and 1,615,763,968

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Solution

The third proportional to 748,692,800 and 1,615,763,968 is: 3,487,001,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,692,800 : 1,615,763,968 = 1,615,763,968 : x
  2. Step 2: Convert to fraction form
    748,692,800/1,615,763,968 = 1,615,763,968/x
  3. Step 3: Cross multiply
    748,692,800x = 1,615,763,968 × 1,615,763,968
  4. Step 4: Simplify right side
    748,692,800x = 2,610,693,200,287,105,024
  5. Step 5: Solve for x
    x = 2,610,693,200,287,105,024/748,692,800
  6. Step 6: Final answer
    x = 3,487,001,878.86

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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.