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Finding the Third Proportional to 6,828,475.50 and 10,287,820.13

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Solution

The third proportional to 6,828,475.50 and 10,287,820.13 is: 15,499,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828,475.50 : 10,287,820.13 = 10,287,820.13 : x
  2. Step 2: Convert to fraction form
    6,828,475.50/10,287,820.13 = 10,287,820.13/x
  3. Step 3: Cross multiply
    6,828,475.50x = 10,287,820.13 × 10,287,820.13
  4. Step 4: Simplify right side
    6,828,475.50x = 105,839,242,924,355.02
  5. Step 5: Solve for x
    x = 105,839,242,924,355.02/6,828,475.50
  6. Step 6: Final answer
    x = 15,499,688.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.