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Finding the Third Proportional to 48,782,120 and 75,578,886

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Solution

The third proportional to 48,782,120 and 75,578,886 is: 117,095,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782,120 : 75,578,886 = 75,578,886 : x
  2. Step 2: Convert to fraction form
    48,782,120/75,578,886 = 75,578,886/x
  3. Step 3: Cross multiply
    48,782,120x = 75,578,886 × 75,578,886
  4. Step 4: Simplify right side
    48,782,120x = 5,712,168,009,000,996
  5. Step 5: Solve for x
    x = 5,712,168,009,000,996/48,782,120
  6. Step 6: Final answer
    x = 117,095,526.17

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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.