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Finding the Third Proportional to 24,623,173,981 and 49,931,516,540

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Solution

The third proportional to 24,623,173,981 and 49,931,516,540 is: 101,252,435,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,623,173,981 : 49,931,516,540 = 49,931,516,540 : x
  2. Step 2: Convert to fraction form
    24,623,173,981/49,931,516,540 = 49,931,516,540/x
  3. Step 3: Cross multiply
    24,623,173,981x = 49,931,516,540 × 49,931,516,540
  4. Step 4: Simplify right side
    24,623,173,981x = 2,493,156,343,984,293,412,864
  5. Step 5: Solve for x
    x = 2,493,156,343,984,293,412,864/24,623,173,981
  6. Step 6: Final answer
    x = 101,252,435,852.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.