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Finding the Third Proportional to 48,826,768 and 75,536,052

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Solution

The third proportional to 48,826,768 and 75,536,052 is: 116,855,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,826,768 : 75,536,052 = 75,536,052 : x
  2. Step 2: Convert to fraction form
    48,826,768/75,536,052 = 75,536,052/x
  3. Step 3: Cross multiply
    48,826,768x = 75,536,052 × 75,536,052
  4. Step 4: Simplify right side
    48,826,768x = 5,705,695,151,746,704
  5. Step 5: Solve for x
    x = 5,705,695,151,746,704/48,826,768
  6. Step 6: Final answer
    x = 116,855,884.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.