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Finding the Third Proportional to 3,046,730,186 and 4,209,888,982

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Solution

The third proportional to 3,046,730,186 and 4,209,888,982 is: 5,817,110,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,730,186 : 4,209,888,982 = 4,209,888,982 : x
  2. Step 2: Convert to fraction form
    3,046,730,186/4,209,888,982 = 4,209,888,982/x
  3. Step 3: Cross multiply
    3,046,730,186x = 4,209,888,982 × 4,209,888,982
  4. Step 4: Simplify right side
    3,046,730,186x = 17,723,165,240,764,995,584
  5. Step 5: Solve for x
    x = 17,723,165,240,764,995,584/3,046,730,186
  6. Step 6: Final answer
    x = 5,817,110,199.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.