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Finding the Third Proportional to 4,074,598,666 and 8,730,062,660

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Solution

The third proportional to 4,074,598,666 and 8,730,062,660 is: 18,704,662,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074,598,666 : 8,730,062,660 = 8,730,062,660 : x
  2. Step 2: Convert to fraction form
    4,074,598,666/8,730,062,660 = 8,730,062,660/x
  3. Step 3: Cross multiply
    4,074,598,666x = 8,730,062,660 × 8,730,062,660
  4. Step 4: Simplify right side
    4,074,598,666x = 76,213,994,047,526,273,024
  5. Step 5: Solve for x
    x = 76,213,994,047,526,273,024/4,074,598,666
  6. Step 6: Final answer
    x = 18,704,662,788.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.