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Finding the Third Proportional to 6,969,820.31 and 15,097,809.19

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Solution

The third proportional to 6,969,820.31 and 15,097,809.19 is: 32,704,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969,820.31 : 15,097,809.19 = 15,097,809.19 : x
  2. Step 2: Convert to fraction form
    6,969,820.31/15,097,809.19 = 15,097,809.19/x
  3. Step 3: Cross multiply
    6,969,820.31x = 15,097,809.19 × 15,097,809.19
  4. Step 4: Simplify right side
    6,969,820.31x = 227,943,842,262,159.41
  5. Step 5: Solve for x
    x = 227,943,842,262,159.41/6,969,820.31
  6. Step 6: Final answer
    x = 32,704,407.29

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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.