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Finding the Third Proportional to 10,127,574 and 22,176,154

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Solution

The third proportional to 10,127,574 and 22,176,154 is: 48,558,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127,574 : 22,176,154 = 22,176,154 : x
  2. Step 2: Convert to fraction form
    10,127,574/22,176,154 = 22,176,154/x
  3. Step 3: Cross multiply
    10,127,574x = 22,176,154 × 22,176,154
  4. Step 4: Simplify right side
    10,127,574x = 491,781,806,231,716
  5. Step 5: Solve for x
    x = 491,781,806,231,716/10,127,574
  6. Step 6: Final answer
    x = 48,558,697.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.