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Finding the Third Proportional to 14,305,506 and 30,656,424

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Solution

The third proportional to 14,305,506 and 30,656,424 is: 65,696,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305,506 : 30,656,424 = 30,656,424 : x
  2. Step 2: Convert to fraction form
    14,305,506/30,656,424 = 30,656,424/x
  3. Step 3: Cross multiply
    14,305,506x = 30,656,424 × 30,656,424
  4. Step 4: Simplify right side
    14,305,506x = 939,816,332,467,776
  5. Step 5: Solve for x
    x = 939,816,332,467,776/14,305,506
  6. Step 6: Final answer
    x = 65,696,126.55

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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.