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Finding the Third Proportional to 832,033,266,291.40 and 1,789,284,678,058.90

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Solution

The third proportional to 832,033,266,291.40 and 1,789,284,678,058.90 is: 3,847,850,547,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,033,266,291.40 : 1,789,284,678,058.90 = 1,789,284,678,058.90 : x
  2. Step 2: Convert to fraction form
    832,033,266,291.40/1,789,284,678,058.90 = 1,789,284,678,058.90/x
  3. Step 3: Cross multiply
    832,033,266,291.40x = 1,789,284,678,058.90 × 1,789,284,678,058.90
  4. Step 4: Simplify right side
    832,033,266,291.40x = 3,201,539,659,136,340,898,873,344
  5. Step 5: Solve for x
    x = 3,201,539,659,136,340,898,873,344/832,033,266,291.40
  6. Step 6: Final answer
    x = 3,847,850,547,378.33

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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.