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Finding the Third Proportional to 27,732,726 and 61,838,364

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Solution

The third proportional to 27,732,726 and 61,838,364 is: 137,887,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732,726 : 61,838,364 = 61,838,364 : x
  2. Step 2: Convert to fraction form
    27,732,726/61,838,364 = 61,838,364/x
  3. Step 3: Cross multiply
    27,732,726x = 61,838,364 × 61,838,364
  4. Step 4: Simplify right side
    27,732,726x = 3,823,983,262,196,496
  5. Step 5: Solve for x
    x = 3,823,983,262,196,496/27,732,726
  6. Step 6: Final answer
    x = 137,887,031.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.