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Finding the Third Proportional to 225,406,442 and 344,813,424

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Solution

The third proportional to 225,406,442 and 344,813,424 is: 527,475,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,406,442 : 344,813,424 = 344,813,424 : x
  2. Step 2: Convert to fraction form
    225,406,442/344,813,424 = 344,813,424/x
  3. Step 3: Cross multiply
    225,406,442x = 344,813,424 × 344,813,424
  4. Step 4: Simplify right side
    225,406,442x = 118,896,297,370,603,776
  5. Step 5: Solve for x
    x = 118,896,297,370,603,776/225,406,442
  6. Step 6: Final answer
    x = 527,475,152.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.