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Finding the Third Proportional to 10,078,650 and 15,512,460

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Solution

The third proportional to 10,078,650 and 15,512,460 is: 23,875,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078,650 : 15,512,460 = 15,512,460 : x
  2. Step 2: Convert to fraction form
    10,078,650/15,512,460 = 15,512,460/x
  3. Step 3: Cross multiply
    10,078,650x = 15,512,460 × 15,512,460
  4. Step 4: Simplify right side
    10,078,650x = 240,636,415,251,600
  5. Step 5: Solve for x
    x = 240,636,415,251,600/10,078,650
  6. Step 6: Final answer
    x = 23,875,857.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.