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Finding the Third Proportional to 5,065,003,897 and 11,160,466,789

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Solution

The third proportional to 5,065,003,897 and 11,160,466,789 is: 24,591,495,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065,003,897 : 11,160,466,789 = 11,160,466,789 : x
  2. Step 2: Convert to fraction form
    5,065,003,897/11,160,466,789 = 11,160,466,789/x
  3. Step 3: Cross multiply
    5,065,003,897x = 11,160,466,789 × 11,160,466,789
  4. Step 4: Simplify right side
    5,065,003,897x = 124,556,018,948,371,972,096
  5. Step 5: Solve for x
    x = 124,556,018,948,371,972,096/5,065,003,897
  6. Step 6: Final answer
    x = 24,591,495,185.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.