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Finding the Third Proportional to 29,704,023 and 47,264,941.13

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Solution

The third proportional to 29,704,023 and 47,264,941.13 is: 75,207,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,704,023 : 47,264,941.13 = 47,264,941.13 : x
  2. Step 2: Convert to fraction form
    29,704,023/47,264,941.13 = 47,264,941.13/x
  3. Step 3: Cross multiply
    29,704,023x = 47,264,941.13 × 47,264,941.13
  4. Step 4: Simplify right side
    29,704,023x = 2,233,974,659,549,716.25
  5. Step 5: Solve for x
    x = 2,233,974,659,549,716.25/29,704,023
  6. Step 6: Final answer
    x = 75,207,814.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.