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Finding the Third Proportional to 14,305,520 and 30,656,448

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Solution

The third proportional to 14,305,520 and 30,656,448 is: 65,696,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305,520 : 30,656,448 = 30,656,448 : x
  2. Step 2: Convert to fraction form
    14,305,520/30,656,448 = 30,656,448/x
  3. Step 3: Cross multiply
    14,305,520x = 30,656,448 × 30,656,448
  4. Step 4: Simplify right side
    14,305,520x = 939,817,803,976,704
  5. Step 5: Solve for x
    x = 939,817,803,976,704/14,305,520
  6. Step 6: Final answer
    x = 65,696,165.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.