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Finding the Third Proportional to 359,887,281,207.50 and 749,562,220,993

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Solution

The third proportional to 359,887,281,207.50 and 749,562,220,993 is: 1,561,165,266,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,281,207.50 : 749,562,220,993 = 749,562,220,993 : x
  2. Step 2: Convert to fraction form
    359,887,281,207.50/749,562,220,993 = 749,562,220,993/x
  3. Step 3: Cross multiply
    359,887,281,207.50x = 749,562,220,993 × 749,562,220,993
  4. Step 4: Simplify right side
    359,887,281,207.50x = 561,843,523,139,958,950,854,656
  5. Step 5: Solve for x
    x = 561,843,523,139,958,950,854,656/359,887,281,207.50
  6. Step 6: Final answer
    x = 1,561,165,266,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.