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Finding the Third Proportional to 12,545,748 and 27,215,784

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Solution

The third proportional to 12,545,748 and 27,215,784 is: 59,039,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545,748 : 27,215,784 = 27,215,784 : x
  2. Step 2: Convert to fraction form
    12,545,748/27,215,784 = 27,215,784/x
  3. Step 3: Cross multiply
    12,545,748x = 27,215,784 × 27,215,784
  4. Step 4: Simplify right side
    12,545,748x = 740,698,898,734,656
  5. Step 5: Solve for x
    x = 740,698,898,734,656/12,545,748
  6. Step 6: Final answer
    x = 59,039,835.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.