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Finding the Third Proportional to 34,878,563 and 81,466,114

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Solution

The third proportional to 34,878,563 and 81,466,114 is: 190,280,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,878,563 : 81,466,114 = 81,466,114 : x
  2. Step 2: Convert to fraction form
    34,878,563/81,466,114 = 81,466,114/x
  3. Step 3: Cross multiply
    34,878,563x = 81,466,114 × 81,466,114
  4. Step 4: Simplify right side
    34,878,563x = 6,636,727,730,260,996
  5. Step 5: Solve for x
    x = 6,636,727,730,260,996/34,878,563
  6. Step 6: Final answer
    x = 190,280,996.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.