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Finding the Third Proportional to 10,537,508,384 and 22,911,606,882

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Solution

The third proportional to 10,537,508,384 and 22,911,606,882 is: 49,816,494,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537,508,384 : 22,911,606,882 = 22,911,606,882 : x
  2. Step 2: Convert to fraction form
    10,537,508,384/22,911,606,882 = 22,911,606,882/x
  3. Step 3: Cross multiply
    10,537,508,384x = 22,911,606,882 × 22,911,606,882
  4. Step 4: Simplify right side
    10,537,508,384x = 524,941,729,915,309,785,088
  5. Step 5: Solve for x
    x = 524,941,729,915,309,785,088/10,537,508,384
  6. Step 6: Final answer
    x = 49,816,494,638.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.