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Finding the Third Proportional to 30,062,253.94 and 65,870,101.13

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Solution

The third proportional to 30,062,253.94 and 65,870,101.13 is: 144,329,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,062,253.94 : 65,870,101.13 = 65,870,101.13 : x
  2. Step 2: Convert to fraction form
    30,062,253.94/65,870,101.13 = 65,870,101.13/x
  3. Step 3: Cross multiply
    30,062,253.94x = 65,870,101.13 × 65,870,101.13
  4. Step 4: Simplify right side
    30,062,253.94x = 4,338,870,222,217,726.50
  5. Step 5: Solve for x
    x = 4,338,870,222,217,726.50/30,062,253.94
  6. Step 6: Final answer
    x = 144,329,504.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.