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Finding the Third Proportional to 3,839,641.58 and 8,249,114.59

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Solution

The third proportional to 3,839,641.58 and 8,249,114.59 is: 17,722,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,641.58 : 8,249,114.59 = 8,249,114.59 : x
  2. Step 2: Convert to fraction form
    3,839,641.58/8,249,114.59 = 8,249,114.59/x
  3. Step 3: Cross multiply
    3,839,641.58x = 8,249,114.59 × 8,249,114.59
  4. Step 4: Simplify right side
    3,839,641.58x = 68,047,891,564,705.40
  5. Step 5: Solve for x
    x = 68,047,891,564,705.40/3,839,641.58
  6. Step 6: Final answer
    x = 17,722,459.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.