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Finding the Third Proportional to 275,762,799 and 590,866,723.50

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Solution

The third proportional to 275,762,799 and 590,866,723.50 is: 1,266,028,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,762,799 : 590,866,723.50 = 590,866,723.50 : x
  2. Step 2: Convert to fraction form
    275,762,799/590,866,723.50 = 590,866,723.50/x
  3. Step 3: Cross multiply
    275,762,799x = 590,866,723.50 × 590,866,723.50
  4. Step 4: Simplify right side
    275,762,799x = 349,123,484,939,625,472
  5. Step 5: Solve for x
    x = 349,123,484,939,625,472/275,762,799
  6. Step 6: Final answer
    x = 1,266,028,217.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.