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Finding the Third Proportional to 683,502,095 and 1,491,193,776

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Solution

The third proportional to 683,502,095 and 1,491,193,776 is: 3,253,331,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,502,095 : 1,491,193,776 = 1,491,193,776 : x
  2. Step 2: Convert to fraction form
    683,502,095/1,491,193,776 = 1,491,193,776/x
  3. Step 3: Cross multiply
    683,502,095x = 1,491,193,776 × 1,491,193,776
  4. Step 4: Simplify right side
    683,502,095x = 2,223,658,877,581,138,176
  5. Step 5: Solve for x
    x = 2,223,658,877,581,138,176/683,502,095
  6. Step 6: Final answer
    x = 3,253,331,473.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.