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Finding the Third Proportional to 349,850,494.50 and 809,926,023

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Solution

The third proportional to 349,850,494.50 and 809,926,023 is: 1,875,029,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,494.50 : 809,926,023 = 809,926,023 : x
  2. Step 2: Convert to fraction form
    349,850,494.50/809,926,023 = 809,926,023/x
  3. Step 3: Cross multiply
    349,850,494.50x = 809,926,023 × 809,926,023
  4. Step 4: Simplify right side
    349,850,494.50x = 655,980,162,732,596,480
  5. Step 5: Solve for x
    x = 655,980,162,732,596,480/349,850,494.50
  6. Step 6: Final answer
    x = 1,875,029,971.50

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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.