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Finding the Third Proportional to 359,887,281,212 and 749,562,221,001

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Solution

The third proportional to 359,887,281,212 and 749,562,221,001 is: 1,561,165,266,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,281,212 : 749,562,221,001 = 749,562,221,001 : x
  2. Step 2: Convert to fraction form
    359,887,281,212/749,562,221,001 = 749,562,221,001/x
  3. Step 3: Cross multiply
    359,887,281,212x = 749,562,221,001 × 749,562,221,001
  4. Step 4: Simplify right side
    359,887,281,212x = 561,843,523,151,951,975,940,096
  5. Step 5: Solve for x
    x = 561,843,523,151,951,975,940,096/359,887,281,212
  6. Step 6: Final answer
    x = 1,561,165,266,135.05

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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.