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Finding the Third Proportional to 46,387,842 and 68,161,784

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Solution

The third proportional to 46,387,842 and 68,161,784 is: 100,156,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,387,842 : 68,161,784 = 68,161,784 : x
  2. Step 2: Convert to fraction form
    46,387,842/68,161,784 = 68,161,784/x
  3. Step 3: Cross multiply
    46,387,842x = 68,161,784 × 68,161,784
  4. Step 4: Simplify right side
    46,387,842x = 4,646,028,798,062,656
  5. Step 5: Solve for x
    x = 4,646,028,798,062,656/46,387,842
  6. Step 6: Final answer
    x = 100,156,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.