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Finding the Third Proportional to 3,212,712 and 6,691,776

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Solution

The third proportional to 3,212,712 and 6,691,776 is: 13,938,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,712 : 6,691,776 = 6,691,776 : x
  2. Step 2: Convert to fraction form
    3,212,712/6,691,776 = 6,691,776/x
  3. Step 3: Cross multiply
    3,212,712x = 6,691,776 × 6,691,776
  4. Step 4: Simplify right side
    3,212,712x = 44,779,866,034,176
  5. Step 5: Solve for x
    x = 44,779,866,034,176/3,212,712
  6. Step 6: Final answer
    x = 13,938,338.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.