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Finding the Third Proportional to 1,070,197,685.86 and 1,637,282,633.98

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Solution

The third proportional to 1,070,197,685.86 and 1,637,282,633.98 is: 2,504,859,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,197,685.86 : 1,637,282,633.98 = 1,637,282,633.98 : x
  2. Step 2: Convert to fraction form
    1,070,197,685.86/1,637,282,633.98 = 1,637,282,633.98/x
  3. Step 3: Cross multiply
    1,070,197,685.86x = 1,637,282,633.98 × 1,637,282,633.98
  4. Step 4: Simplify right side
    1,070,197,685.86x = 2,680,694,423,521,352,704
  5. Step 5: Solve for x
    x = 2,680,694,423,521,352,704/1,070,197,685.86
  6. Step 6: Final answer
    x = 2,504,859,110.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.