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Finding the Third Proportional to 349,846,894.13 and 809,916,985.13

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Solution

The third proportional to 349,846,894.13 and 809,916,985.13 is: 1,875,007,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,846,894.13 : 809,916,985.13 = 809,916,985.13 : x
  2. Step 2: Convert to fraction form
    349,846,894.13/809,916,985.13 = 809,916,985.13/x
  3. Step 3: Cross multiply
    349,846,894.13x = 809,916,985.13 × 809,916,985.13
  4. Step 4: Simplify right side
    349,846,894.13x = 655,965,522,793,969,408
  5. Step 5: Solve for x
    x = 655,965,522,793,969,408/349,846,894.13
  6. Step 6: Final answer
    x = 1,875,007,421.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.