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Finding the Third Proportional to 349,847,069 and 809,917,421

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Solution

The third proportional to 349,847,069 and 809,917,421 is: 1,875,008,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,847,069 : 809,917,421 = 809,917,421 : x
  2. Step 2: Convert to fraction form
    349,847,069/809,917,421 = 809,917,421/x
  3. Step 3: Cross multiply
    349,847,069x = 809,917,421 × 809,917,421
  4. Step 4: Simplify right side
    349,847,069x = 655,966,228,839,291,264
  5. Step 5: Solve for x
    x = 655,966,228,839,291,264/349,847,069
  6. Step 6: Final answer
    x = 1,875,008,502.18

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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.