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Finding the Third Proportional to 3,841,520,352 and 8,566,330,704

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Solution

The third proportional to 3,841,520,352 and 8,566,330,704 is: 19,102,338,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841,520,352 : 8,566,330,704 = 8,566,330,704 : x
  2. Step 2: Convert to fraction form
    3,841,520,352/8,566,330,704 = 8,566,330,704/x
  3. Step 3: Cross multiply
    3,841,520,352x = 8,566,330,704 × 8,566,330,704
  4. Step 4: Simplify right side
    3,841,520,352x = 73,382,021,730,293,137,408
  5. Step 5: Solve for x
    x = 73,382,021,730,293,137,408/3,841,520,352
  6. Step 6: Final answer
    x = 19,102,338,398.93

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.