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Finding the Third Proportional to 4,156,797 and 9,712,154

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Solution

The third proportional to 4,156,797 and 9,712,154 is: 22,691,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156,797 : 9,712,154 = 9,712,154 : x
  2. Step 2: Convert to fraction form
    4,156,797/9,712,154 = 9,712,154/x
  3. Step 3: Cross multiply
    4,156,797x = 9,712,154 × 9,712,154
  4. Step 4: Simplify right side
    4,156,797x = 94,325,935,319,716
  5. Step 5: Solve for x
    x = 94,325,935,319,716/4,156,797
  6. Step 6: Final answer
    x = 22,691,975.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.