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Finding the Third Proportional to 10,628,514,836 and 22,834,335,484

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Solution

The third proportional to 10,628,514,836 and 22,834,335,484 is: 49,057,359,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628,514,836 : 22,834,335,484 = 22,834,335,484 : x
  2. Step 2: Convert to fraction form
    10,628,514,836/22,834,335,484 = 22,834,335,484/x
  3. Step 3: Cross multiply
    10,628,514,836x = 22,834,335,484 × 22,834,335,484
  4. Step 4: Simplify right side
    10,628,514,836x = 521,406,876,995,861,544,960
  5. Step 5: Solve for x
    x = 521,406,876,995,861,544,960/10,628,514,836
  6. Step 6: Final answer
    x = 49,057,359,851.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.