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Finding the Third Proportional to 10,358,186 and 15,681,169

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Solution

The third proportional to 10,358,186 and 15,681,169 is: 23,739,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358,186 : 15,681,169 = 15,681,169 : x
  2. Step 2: Convert to fraction form
    10,358,186/15,681,169 = 15,681,169/x
  3. Step 3: Cross multiply
    10,358,186x = 15,681,169 × 15,681,169
  4. Step 4: Simplify right side
    10,358,186x = 245,899,061,206,561
  5. Step 5: Solve for x
    x = 245,899,061,206,561/10,358,186
  6. Step 6: Final answer
    x = 23,739,587.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.