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Finding the Third Proportional to 6,193,527 and 13,283,709

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Solution

The third proportional to 6,193,527 and 13,283,709 is: 28,490,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193,527 : 13,283,709 = 13,283,709 : x
  2. Step 2: Convert to fraction form
    6,193,527/13,283,709 = 13,283,709/x
  3. Step 3: Cross multiply
    6,193,527x = 13,283,709 × 13,283,709
  4. Step 4: Simplify right side
    6,193,527x = 176,456,924,796,681
  5. Step 5: Solve for x
    x = 176,456,924,796,681/6,193,527
  6. Step 6: Final answer
    x = 28,490,539.36

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Why These Related Problems?

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