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Finding the Third Proportional to 10,357,840 and 15,680,712

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Solution

The third proportional to 10,357,840 and 15,680,712 is: 23,738,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357,840 : 15,680,712 = 15,680,712 : x
  2. Step 2: Convert to fraction form
    10,357,840/15,680,712 = 15,680,712/x
  3. Step 3: Cross multiply
    10,357,840x = 15,680,712 × 15,680,712
  4. Step 4: Simplify right side
    10,357,840x = 245,884,728,826,944
  5. Step 5: Solve for x
    x = 245,884,728,826,944/10,357,840
  6. Step 6: Final answer
    x = 23,738,996.63

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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.