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Finding the Third Proportional to 1,960,976,390.06 and 4,201,711,810.31

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Solution

The third proportional to 1,960,976,390.06 and 4,201,711,810.31 is: 9,002,852,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,976,390.06 : 4,201,711,810.31 = 4,201,711,810.31 : x
  2. Step 2: Convert to fraction form
    1,960,976,390.06/4,201,711,810.31 = 4,201,711,810.31/x
  3. Step 3: Cross multiply
    1,960,976,390.06x = 4,201,711,810.31 × 4,201,711,810.31
  4. Step 4: Simplify right side
    1,960,976,390.06x = 17,654,382,136,918,704,128
  5. Step 5: Solve for x
    x = 17,654,382,136,918,704,128/1,960,976,390.06
  6. Step 6: Final answer
    x = 9,002,852,979.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.