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Finding the Third Proportional to 21,543,778 and 47,207,780

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Solution

The third proportional to 21,543,778 and 47,207,780 is: 103,443,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543,778 : 47,207,780 = 47,207,780 : x
  2. Step 2: Convert to fraction form
    21,543,778/47,207,780 = 47,207,780/x
  3. Step 3: Cross multiply
    21,543,778x = 47,207,780 × 47,207,780
  4. Step 4: Simplify right side
    21,543,778x = 2,228,574,492,528,400
  5. Step 5: Solve for x
    x = 2,228,574,492,528,400/21,543,778
  6. Step 6: Final answer
    x = 103,443,996.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.