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Finding the Third Proportional to 24,253,532,556 and 52,777,811,734

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Solution

The third proportional to 24,253,532,556 and 52,777,811,734 is: 114,849,142,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253,532,556 : 52,777,811,734 = 52,777,811,734 : x
  2. Step 2: Convert to fraction form
    24,253,532,556/52,777,811,734 = 52,777,811,734/x
  3. Step 3: Cross multiply
    24,253,532,556x = 52,777,811,734 × 52,777,811,734
  4. Step 4: Simplify right side
    24,253,532,556x = 2,785,497,411,429,547,900,928
  5. Step 5: Solve for x
    x = 2,785,497,411,429,547,900,928/24,253,532,556
  6. Step 6: Final answer
    x = 114,849,142,284.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.