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Finding the Third Proportional to 10,458,306 and 22,429,470

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Solution

The third proportional to 10,458,306 and 22,429,470 is: 48,103,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458,306 : 22,429,470 = 22,429,470 : x
  2. Step 2: Convert to fraction form
    10,458,306/22,429,470 = 22,429,470/x
  3. Step 3: Cross multiply
    10,458,306x = 22,429,470 × 22,429,470
  4. Step 4: Simplify right side
    10,458,306x = 503,081,124,480,900
  5. Step 5: Solve for x
    x = 503,081,124,480,900/10,458,306
  6. Step 6: Final answer
    x = 48,103,500.17

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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.