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Finding the Third Proportional to 362,167,726 and 784,502,156

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Solution

The third proportional to 362,167,726 and 784,502,156 is: 1,699,333,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,167,726 : 784,502,156 = 784,502,156 : x
  2. Step 2: Convert to fraction form
    362,167,726/784,502,156 = 784,502,156/x
  3. Step 3: Cross multiply
    362,167,726x = 784,502,156 × 784,502,156
  4. Step 4: Simplify right side
    362,167,726x = 615,443,632,768,648,320
  5. Step 5: Solve for x
    x = 615,443,632,768,648,320/362,167,726
  6. Step 6: Final answer
    x = 1,699,333,177.93

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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.