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Finding the Third Proportional to 843,827,945.20 and 1,817,260,449.19

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Solution

The third proportional to 843,827,945.20 and 1,817,260,449.19 is: 3,913,636,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,827,945.20 : 1,817,260,449.19 = 1,817,260,449.19 : x
  2. Step 2: Convert to fraction form
    843,827,945.20/1,817,260,449.19 = 1,817,260,449.19/x
  3. Step 3: Cross multiply
    843,827,945.20x = 1,817,260,449.19 × 1,817,260,449.19
  4. Step 4: Simplify right side
    843,827,945.20x = 3,302,435,540,181,154,304
  5. Step 5: Solve for x
    x = 3,302,435,540,181,154,304/843,827,945.20
  6. Step 6: Final answer
    x = 3,913,636,137.50

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1.5x scale

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.