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Finding the Third Proportional to 10,204,326 and 15,799,410

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Solution

The third proportional to 10,204,326 and 15,799,410 is: 24,462,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204,326 : 15,799,410 = 15,799,410 : x
  2. Step 2: Convert to fraction form
    10,204,326/15,799,410 = 15,799,410/x
  3. Step 3: Cross multiply
    10,204,326x = 15,799,410 × 15,799,410
  4. Step 4: Simplify right side
    10,204,326x = 249,621,356,348,100
  5. Step 5: Solve for x
    x = 249,621,356,348,100/10,204,326
  6. Step 6: Final answer
    x = 24,462,307.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.