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Finding the Third Proportional to 75,870,432 and 117,697,536

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Solution

The third proportional to 75,870,432 and 117,697,536 is: 182,583,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870,432 : 117,697,536 = 117,697,536 : x
  2. Step 2: Convert to fraction form
    75,870,432/117,697,536 = 117,697,536/x
  3. Step 3: Cross multiply
    75,870,432x = 117,697,536 × 117,697,536
  4. Step 4: Simplify right side
    75,870,432x = 13,852,709,980,471,296
  5. Step 5: Solve for x
    x = 13,852,709,980,471,296/75,870,432
  6. Step 6: Final answer
    x = 182,583,776.25

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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.