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Finding the Third Proportional to 359,887,347,216 and 749,562,357,600

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Solution

The third proportional to 359,887,347,216 and 749,562,357,600 is: 1,561,165,548,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,347,216 : 749,562,357,600 = 749,562,357,600 : x
  2. Step 2: Convert to fraction form
    359,887,347,216/749,562,357,600 = 749,562,357,600/x
  3. Step 3: Cross multiply
    359,887,347,216x = 749,562,357,600 × 749,562,357,600
  4. Step 4: Simplify right side
    359,887,347,216x = 561,843,727,930,870,296,739,840
  5. Step 5: Solve for x
    x = 561,843,727,930,870,296,739,840/359,887,347,216
  6. Step 6: Final answer
    x = 1,561,165,548,822.86

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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.