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Finding the Third Proportional to 47,874,037.50 and 75,819,007.13

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Solution

The third proportional to 47,874,037.50 and 75,819,007.13 is: 120,075,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874,037.50 : 75,819,007.13 = 75,819,007.13 : x
  2. Step 2: Convert to fraction form
    47,874,037.50/75,819,007.13 = 75,819,007.13/x
  3. Step 3: Cross multiply
    47,874,037.50x = 75,819,007.13 × 75,819,007.13
  4. Step 4: Simplify right side
    47,874,037.50x = 5,748,521,841,420,801
  5. Step 5: Solve for x
    x = 5,748,521,841,420,801/47,874,037.50
  6. Step 6: Final answer
    x = 120,075,977.33

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.