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Finding the Third Proportional to 2,971,087.88 and 6,511,752.75

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Solution

The third proportional to 2,971,087.88 and 6,511,752.75 is: 14,271,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971,087.88 : 6,511,752.75 = 6,511,752.75 : x
  2. Step 2: Convert to fraction form
    2,971,087.88/6,511,752.75 = 6,511,752.75/x
  3. Step 3: Cross multiply
    2,971,087.88x = 6,511,752.75 × 6,511,752.75
  4. Step 4: Simplify right side
    2,971,087.88x = 42,402,923,877,132.56
  5. Step 5: Solve for x
    x = 42,402,923,877,132.56/2,971,087.88
  6. Step 6: Final answer
    x = 14,271,851.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.