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Finding the Third Proportional to 359,887,281,220 and 749,562,221,018

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Solution

The third proportional to 359,887,281,220 and 749,562,221,018 is: 1,561,165,266,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,281,220 : 749,562,221,018 = 749,562,221,018 : x
  2. Step 2: Convert to fraction form
    359,887,281,220/749,562,221,018 = 749,562,221,018/x
  3. Step 3: Cross multiply
    359,887,281,220x = 749,562,221,018 × 749,562,221,018
  4. Step 4: Simplify right side
    359,887,281,220x = 561,843,523,177,437,103,915,008
  5. Step 5: Solve for x
    x = 561,843,523,177,437,103,915,008/359,887,281,220
  6. Step 6: Final answer
    x = 1,561,165,266,171.16

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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.