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Finding the Third Proportional to 423,451,716.38 and 917,252,935.13

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Solution

The third proportional to 423,451,716.38 and 917,252,935.13 is: 1,986,892,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,451,716.38 : 917,252,935.13 = 917,252,935.13 : x
  2. Step 2: Convert to fraction form
    423,451,716.38/917,252,935.13 = 917,252,935.13/x
  3. Step 3: Cross multiply
    423,451,716.38x = 917,252,935.13 × 917,252,935.13
  4. Step 4: Simplify right side
    423,451,716.38x = 841,352,946,995,427,456
  5. Step 5: Solve for x
    x = 841,352,946,995,427,456/423,451,716.38
  6. Step 6: Final answer
    x = 1,986,892,281.84

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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.