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Finding the Third Proportional to 3,097,820 and 6,564,852

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Solution

The third proportional to 3,097,820 and 6,564,852 is: 13,912,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,820 : 6,564,852 = 6,564,852 : x
  2. Step 2: Convert to fraction form
    3,097,820/6,564,852 = 6,564,852/x
  3. Step 3: Cross multiply
    3,097,820x = 6,564,852 × 6,564,852
  4. Step 4: Simplify right side
    3,097,820x = 43,097,281,781,904
  5. Step 5: Solve for x
    x = 43,097,281,781,904/3,097,820
  6. Step 6: Final answer
    x = 13,912,132.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.