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Finding the Third Proportional to 358,995,240 and 786,091,726.13

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Solution

The third proportional to 358,995,240 and 786,091,726.13 is: 1,721,304,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,995,240 : 786,091,726.13 = 786,091,726.13 : x
  2. Step 2: Convert to fraction form
    358,995,240/786,091,726.13 = 786,091,726.13/x
  3. Step 3: Cross multiply
    358,995,240x = 786,091,726.13 × 786,091,726.13
  4. Step 4: Simplify right side
    358,995,240x = 617,940,201,882,182,016
  5. Step 5: Solve for x
    x = 617,940,201,882,182,016/358,995,240
  6. Step 6: Final answer
    x = 1,721,304,722.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.