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Finding the Third Proportional to 47,873,980.50 and 75,818,920.50

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Solution

The third proportional to 47,873,980.50 and 75,818,920.50 is: 120,075,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873,980.50 : 75,818,920.50 = 75,818,920.50 : x
  2. Step 2: Convert to fraction form
    47,873,980.50/75,818,920.50 = 75,818,920.50/x
  3. Step 3: Cross multiply
    47,873,980.50x = 75,818,920.50 × 75,818,920.50
  4. Step 4: Simplify right side
    47,873,980.50x = 5,748,508,705,785,320
  5. Step 5: Solve for x
    x = 5,748,508,705,785,320/47,873,980.50
  6. Step 6: Final answer
    x = 120,075,845.91

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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.