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Finding the Third Proportional to 2,267,576,866.13 and 3,520,752,717.94

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Solution

The third proportional to 2,267,576,866.13 and 3,520,752,717.94 is: 5,466,495,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,576,866.13 : 3,520,752,717.94 = 3,520,752,717.94 : x
  2. Step 2: Convert to fraction form
    2,267,576,866.13/3,520,752,717.94 = 3,520,752,717.94/x
  3. Step 3: Cross multiply
    2,267,576,866.13x = 3,520,752,717.94 × 3,520,752,717.94
  4. Step 4: Simplify right side
    2,267,576,866.13x = 12,395,699,700,864,292,864
  5. Step 5: Solve for x
    x = 12,395,699,700,864,292,864/2,267,576,866.13
  6. Step 6: Final answer
    x = 5,466,495,926.13

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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.