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Finding the Third Proportional to 6,864,762 and 9,323,196

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Solution

The third proportional to 6,864,762 and 9,323,196 is: 12,662,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864,762 : 9,323,196 = 9,323,196 : x
  2. Step 2: Convert to fraction form
    6,864,762/9,323,196 = 9,323,196/x
  3. Step 3: Cross multiply
    6,864,762x = 9,323,196 × 9,323,196
  4. Step 4: Simplify right side
    6,864,762x = 86,921,983,654,416
  5. Step 5: Solve for x
    x = 86,921,983,654,416/6,864,762
  6. Step 6: Final answer
    x = 12,662,053.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.