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Finding the Third Proportional to 349,850,518.88 and 809,926,084.13

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Solution

The third proportional to 349,850,518.88 and 809,926,084.13 is: 1,875,030,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,518.88 : 809,926,084.13 = 809,926,084.13 : x
  2. Step 2: Convert to fraction form
    349,850,518.88/809,926,084.13 = 809,926,084.13/x
  3. Step 3: Cross multiply
    349,850,518.88x = 809,926,084.13 × 809,926,084.13
  4. Step 4: Simplify right side
    349,850,518.88x = 655,980,261,746,056,576
  5. Step 5: Solve for x
    x = 655,980,261,746,056,576/349,850,518.88
  6. Step 6: Final answer
    x = 1,875,030,123.88

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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.