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Finding the Third Proportional to 3,097,980 and 6,710,640

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Solution

The third proportional to 3,097,980 and 6,710,640 is: 14,536,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,980 : 6,710,640 = 6,710,640 : x
  2. Step 2: Convert to fraction form
    3,097,980/6,710,640 = 6,710,640/x
  3. Step 3: Cross multiply
    3,097,980x = 6,710,640 × 6,710,640
  4. Step 4: Simplify right side
    3,097,980x = 45,032,689,209,600
  5. Step 5: Solve for x
    x = 45,032,689,209,600/3,097,980
  6. Step 6: Final answer
    x = 14,536,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.