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Finding the Third Proportional to 10,091,747 and 15,258,041

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Solution

The third proportional to 10,091,747 and 15,258,041 is: 23,069,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091,747 : 15,258,041 = 15,258,041 : x
  2. Step 2: Convert to fraction form
    10,091,747/15,258,041 = 15,258,041/x
  3. Step 3: Cross multiply
    10,091,747x = 15,258,041 × 15,258,041
  4. Step 4: Simplify right side
    10,091,747x = 232,807,815,157,681
  5. Step 5: Solve for x
    x = 232,807,815,157,681/10,091,747
  6. Step 6: Final answer
    x = 23,069,129.18

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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.