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Finding the Third Proportional to 9,646,926,204 and 20,896,501,317

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Solution

The third proportional to 9,646,926,204 and 20,896,501,317 is: 45,264,549,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,926,204 : 20,896,501,317 = 20,896,501,317 : x
  2. Step 2: Convert to fraction form
    9,646,926,204/20,896,501,317 = 20,896,501,317/x
  3. Step 3: Cross multiply
    9,646,926,204x = 20,896,501,317 × 20,896,501,317
  4. Step 4: Simplify right side
    9,646,926,204x = 436,663,767,291,382,726,656
  5. Step 5: Solve for x
    x = 436,663,767,291,382,726,656/9,646,926,204
  6. Step 6: Final answer
    x = 45,264,549,355.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.