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Finding the Third Proportional to 37,807,360 and 82,934,528

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Solution

The third proportional to 37,807,360 and 82,934,528 is: 181,925,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,807,360 : 82,934,528 = 82,934,528 : x
  2. Step 2: Convert to fraction form
    37,807,360/82,934,528 = 82,934,528/x
  3. Step 3: Cross multiply
    37,807,360x = 82,934,528 × 82,934,528
  4. Step 4: Simplify right side
    37,807,360x = 6,878,135,934,582,784
  5. Step 5: Solve for x
    x = 6,878,135,934,582,784/37,807,360
  6. Step 6: Final answer
    x = 181,925,845.51

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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.