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Finding the Third Proportional to 10,180,428 and 21,818,154

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Solution

The third proportional to 10,180,428 and 21,818,154 is: 46,759,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,428 : 21,818,154 = 21,818,154 : x
  2. Step 2: Convert to fraction form
    10,180,428/21,818,154 = 21,818,154/x
  3. Step 3: Cross multiply
    10,180,428x = 21,818,154 × 21,818,154
  4. Step 4: Simplify right side
    10,180,428x = 476,031,843,967,716
  5. Step 5: Solve for x
    x = 476,031,843,967,716/10,180,428
  6. Step 6: Final answer
    x = 46,759,511.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.