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Finding the Third Proportional to 840,624,849,308.15 and 1,255,428,733,250.10

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Solution

The third proportional to 840,624,849,308.15 and 1,255,428,733,250.10 is: 1,874,916,385,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,624,849,308.15 : 1,255,428,733,250.10 = 1,255,428,733,250.10 : x
  2. Step 2: Convert to fraction form
    840,624,849,308.15/1,255,428,733,250.10 = 1,255,428,733,250.10/x
  3. Step 3: Cross multiply
    840,624,849,308.15x = 1,255,428,733,250.10 × 1,255,428,733,250.10
  4. Step 4: Simplify right side
    840,624,849,308.15x = 1,576,101,304,269,951,056,478,208
  5. Step 5: Solve for x
    x = 1,576,101,304,269,951,056,478,208/840,624,849,308.15
  6. Step 6: Final answer
    x = 1,874,916,385,789.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.