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Finding the Third Proportional to 6,437,952 and 9,657,696

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Solution

The third proportional to 6,437,952 and 9,657,696 is: 14,487,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437,952 : 9,657,696 = 9,657,696 : x
  2. Step 2: Convert to fraction form
    6,437,952/9,657,696 = 9,657,696/x
  3. Step 3: Cross multiply
    6,437,952x = 9,657,696 × 9,657,696
  4. Step 4: Simplify right side
    6,437,952x = 93,271,092,028,416
  5. Step 5: Solve for x
    x = 93,271,092,028,416/6,437,952
  6. Step 6: Final answer
    x = 14,487,696.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.