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Finding the Third Proportional to 74,016,726 and 160,389,486

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Solution

The third proportional to 74,016,726 and 160,389,486 is: 347,553,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016,726 : 160,389,486 = 160,389,486 : x
  2. Step 2: Convert to fraction form
    74,016,726/160,389,486 = 160,389,486/x
  3. Step 3: Cross multiply
    74,016,726x = 160,389,486 × 160,389,486
  4. Step 4: Simplify right side
    74,016,726x = 25,724,787,219,344,196
  5. Step 5: Solve for x
    x = 25,724,787,219,344,196/74,016,726
  6. Step 6: Final answer
    x = 347,553,703.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.