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Finding the Third Proportional to 6,854,660,412 and 14,926,225,062

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Solution

The third proportional to 6,854,660,412 and 14,926,225,062 is: 32,502,294,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854,660,412 : 14,926,225,062 = 14,926,225,062 : x
  2. Step 2: Convert to fraction form
    6,854,660,412/14,926,225,062 = 14,926,225,062/x
  3. Step 3: Cross multiply
    6,854,660,412x = 14,926,225,062 × 14,926,225,062
  4. Step 4: Simplify right side
    6,854,660,412x = 222,792,194,601,476,915,200
  5. Step 5: Solve for x
    x = 222,792,194,601,476,915,200/6,854,660,412
  6. Step 6: Final answer
    x = 32,502,294,965.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.