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Finding the Third Proportional to 283,297,699.13 and 612,668,836.13

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Solution

The third proportional to 283,297,699.13 and 612,668,836.13 is: 1,324,977,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,297,699.13 : 612,668,836.13 = 612,668,836.13 : x
  2. Step 2: Convert to fraction form
    283,297,699.13/612,668,836.13 = 612,668,836.13/x
  3. Step 3: Cross multiply
    283,297,699.13x = 612,668,836.13 × 612,668,836.13
  4. Step 4: Simplify right side
    283,297,699.13x = 375,363,102,758,762,112
  5. Step 5: Solve for x
    x = 375,363,102,758,762,112/283,297,699.13
  6. Step 6: Final answer
    x = 1,324,977,590.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.