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Finding the Third Proportional to 10,180,926 and 21,955,914

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Solution

The third proportional to 10,180,926 and 21,955,914 is: 47,349,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,926 : 21,955,914 = 21,955,914 : x
  2. Step 2: Convert to fraction form
    10,180,926/21,955,914 = 21,955,914/x
  3. Step 3: Cross multiply
    10,180,926x = 21,955,914 × 21,955,914
  4. Step 4: Simplify right side
    10,180,926x = 482,062,159,575,396
  5. Step 5: Solve for x
    x = 482,062,159,575,396/10,180,926
  6. Step 6: Final answer
    x = 47,349,539.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.