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Finding the Third Proportional to 9,971,029.13 and 21,689,086.50

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Solution

The third proportional to 9,971,029.13 and 21,689,086.50 is: 47,178,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,029.13 : 21,689,086.50 = 21,689,086.50 : x
  2. Step 2: Convert to fraction form
    9,971,029.13/21,689,086.50 = 21,689,086.50/x
  3. Step 3: Cross multiply
    9,971,029.13x = 21,689,086.50 × 21,689,086.50
  4. Step 4: Simplify right side
    9,971,029.13x = 470,416,473,204,482.25
  5. Step 5: Solve for x
    x = 470,416,473,204,482.25/9,971,029.13
  6. Step 6: Final answer
    x = 47,178,327.06

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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.