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Finding the Third Proportional to 6,065,745 and 12,984,417

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Solution

The third proportional to 6,065,745 and 12,984,417 is: 27,794,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,745 : 12,984,417 = 12,984,417 : x
  2. Step 2: Convert to fraction form
    6,065,745/12,984,417 = 12,984,417/x
  3. Step 3: Cross multiply
    6,065,745x = 12,984,417 × 12,984,417
  4. Step 4: Simplify right side
    6,065,745x = 168,595,084,829,889
  5. Step 5: Solve for x
    x = 168,595,084,829,889/6,065,745
  6. Step 6: Final answer
    x = 27,794,621.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.