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Finding the Third Proportional to 6,142,572 and 9,056,394

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Solution

The third proportional to 6,142,572 and 9,056,394 is: 13,352,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,572 : 9,056,394 = 9,056,394 : x
  2. Step 2: Convert to fraction form
    6,142,572/9,056,394 = 9,056,394/x
  3. Step 3: Cross multiply
    6,142,572x = 9,056,394 × 9,056,394
  4. Step 4: Simplify right side
    6,142,572x = 82,018,272,283,236
  5. Step 5: Solve for x
    x = 82,018,272,283,236/6,142,572
  6. Step 6: Final answer
    x = 13,352,431.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.