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Finding the Third Proportional to 1,426,649,206.50 and 2,893,412,542.50

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Solution

The third proportional to 1,426,649,206.50 and 2,893,412,542.50 is: 5,868,181,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,649,206.50 : 2,893,412,542.50 = 2,893,412,542.50 : x
  2. Step 2: Convert to fraction form
    1,426,649,206.50/2,893,412,542.50 = 2,893,412,542.50/x
  3. Step 3: Cross multiply
    1,426,649,206.50x = 2,893,412,542.50 × 2,893,412,542.50
  4. Step 4: Simplify right side
    1,426,649,206.50x = 8,371,836,141,096,313,856
  5. Step 5: Solve for x
    x = 8,371,836,141,096,313,856/1,426,649,206.50
  6. Step 6: Final answer
    x = 5,868,181,262.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.