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Finding the Third Proportional to 10,266,429 and 15,988,905

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Solution

The third proportional to 10,266,429 and 15,988,905 is: 24,901,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266,429 : 15,988,905 = 15,988,905 : x
  2. Step 2: Convert to fraction form
    10,266,429/15,988,905 = 15,988,905/x
  3. Step 3: Cross multiply
    10,266,429x = 15,988,905 × 15,988,905
  4. Step 4: Simplify right side
    10,266,429x = 255,645,083,099,025
  5. Step 5: Solve for x
    x = 255,645,083,099,025/10,266,429
  6. Step 6: Final answer
    x = 24,901,071.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.