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Finding the Third Proportional to 452,199,618 and 979,523,481

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Solution

The third proportional to 452,199,618 and 979,523,481 is: 2,121,775,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,199,618 : 979,523,481 = 979,523,481 : x
  2. Step 2: Convert to fraction form
    452,199,618/979,523,481 = 979,523,481/x
  3. Step 3: Cross multiply
    452,199,618x = 979,523,481 × 979,523,481
  4. Step 4: Simplify right side
    452,199,618x = 959,466,249,830,357,376
  5. Step 5: Solve for x
    x = 959,466,249,830,357,376/452,199,618
  6. Step 6: Final answer
    x = 2,121,775,896.39

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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.