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Finding the Third Proportional to 37,925,366 and 83,232,730

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Solution

The third proportional to 37,925,366 and 83,232,730 is: 182,666,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,925,366 : 83,232,730 = 83,232,730 : x
  2. Step 2: Convert to fraction form
    37,925,366/83,232,730 = 83,232,730/x
  3. Step 3: Cross multiply
    37,925,366x = 83,232,730 × 83,232,730
  4. Step 4: Simplify right side
    37,925,366x = 6,927,687,343,252,900
  5. Step 5: Solve for x
    x = 6,927,687,343,252,900/37,925,366
  6. Step 6: Final answer
    x = 182,666,327.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.