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Finding the Third Proportional to 5,658,771,766 and 12,177,506,924

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Solution

The third proportional to 5,658,771,766 and 12,177,506,924 is: 26,205,629,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,771,766 : 12,177,506,924 = 12,177,506,924 : x
  2. Step 2: Convert to fraction form
    5,658,771,766/12,177,506,924 = 12,177,506,924/x
  3. Step 3: Cross multiply
    5,658,771,766x = 12,177,506,924 × 12,177,506,924
  4. Step 4: Simplify right side
    5,658,771,766x = 148,291,674,884,067,950,592
  5. Step 5: Solve for x
    x = 148,291,674,884,067,950,592/5,658,771,766
  6. Step 6: Final answer
    x = 26,205,629,245.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.