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Finding the Third Proportional to 359,887,278,768 and 749,562,215,952

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Solution

The third proportional to 359,887,278,768 and 749,562,215,952 is: 1,561,165,255,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,887,278,768 : 749,562,215,952 = 749,562,215,952 : x
  2. Step 2: Convert to fraction form
    359,887,278,768/749,562,215,952 = 749,562,215,952/x
  3. Step 3: Cross multiply
    359,887,278,768x = 749,562,215,952 × 749,562,215,952
  4. Step 4: Simplify right side
    359,887,278,768x = 561,843,515,582,872,658,378,752
  5. Step 5: Solve for x
    x = 561,843,515,582,872,658,378,752/359,887,278,768
  6. Step 6: Final answer
    x = 1,561,165,255,705.14

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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.