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Finding the Third Proportional to 2,857,977,418 and 6,129,475,604

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Solution

The third proportional to 2,857,977,418 and 6,129,475,604 is: 13,145,825,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,977,418 : 6,129,475,604 = 6,129,475,604 : x
  2. Step 2: Convert to fraction form
    2,857,977,418/6,129,475,604 = 6,129,475,604/x
  3. Step 3: Cross multiply
    2,857,977,418x = 6,129,475,604 × 6,129,475,604
  4. Step 4: Simplify right side
    2,857,977,418x = 37,570,471,180,031,164,416
  5. Step 5: Solve for x
    x = 37,570,471,180,031,164,416/2,857,977,418
  6. Step 6: Final answer
    x = 13,145,825,066.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.