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Finding the Third Proportional to 47,874,044.25 and 75,819,017.25

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Solution

The third proportional to 47,874,044.25 and 75,819,017.25 is: 120,075,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874,044.25 : 75,819,017.25 = 75,819,017.25 : x
  2. Step 2: Convert to fraction form
    47,874,044.25/75,819,017.25 = 75,819,017.25/x
  3. Step 3: Cross multiply
    47,874,044.25x = 75,819,017.25 × 75,819,017.25
  4. Step 4: Simplify right side
    47,874,044.25x = 5,748,523,376,755,798
  5. Step 5: Solve for x
    x = 5,748,523,376,755,798/47,874,044.25
  6. Step 6: Final answer
    x = 120,075,992.47

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Why These Related Problems?

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