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Finding the Third Proportional to 6,539,592 and 10,206,768

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Solution

The third proportional to 6,539,592 and 10,206,768 is: 15,930,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,592 : 10,206,768 = 10,206,768 : x
  2. Step 2: Convert to fraction form
    6,539,592/10,206,768 = 10,206,768/x
  3. Step 3: Cross multiply
    6,539,592x = 10,206,768 × 10,206,768
  4. Step 4: Simplify right side
    6,539,592x = 104,178,113,005,824
  5. Step 5: Solve for x
    x = 104,178,113,005,824/6,539,592
  6. Step 6: Final answer
    x = 15,930,368.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.