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Finding the Third Proportional to 359,887,281,188 and 749,562,220,972

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Solution

The third proportional to 359,887,281,188 and 749,562,220,972 is: 1,561,165,266,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,281,188 : 749,562,220,972 = 749,562,220,972 : x
  2. Step 2: Convert to fraction form
    359,887,281,188/749,562,220,972 = 749,562,220,972/x
  3. Step 3: Cross multiply
    359,887,281,188x = 749,562,220,972 × 749,562,220,972
  4. Step 4: Simplify right side
    359,887,281,188x = 561,843,523,108,477,377,445,888
  5. Step 5: Solve for x
    x = 561,843,523,108,477,377,445,888/359,887,281,188
  6. Step 6: Final answer
    x = 1,561,165,266,118.36

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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.