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Finding the Third Proportional to 7,447,341,340 and 16,202,218,540

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Solution

The third proportional to 7,447,341,340 and 16,202,218,540 is: 35,249,073,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,341,340 : 16,202,218,540 = 16,202,218,540 : x
  2. Step 2: Convert to fraction form
    7,447,341,340/16,202,218,540 = 16,202,218,540/x
  3. Step 3: Cross multiply
    7,447,341,340x = 16,202,218,540 × 16,202,218,540
  4. Step 4: Simplify right side
    7,447,341,340x = 262,511,885,617,919,721,472
  5. Step 5: Solve for x
    x = 262,511,885,617,919,721,472/7,447,341,340
  6. Step 6: Final answer
    x = 35,249,073,949.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.