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Finding the Third Proportional to 7,597,046 and 10,882,497

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Solution

The third proportional to 7,597,046 and 10,882,497 is: 15,588,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597,046 : 10,882,497 = 10,882,497 : x
  2. Step 2: Convert to fraction form
    7,597,046/10,882,497 = 10,882,497/x
  3. Step 3: Cross multiply
    7,597,046x = 10,882,497 × 10,882,497
  4. Step 4: Simplify right side
    7,597,046x = 118,428,740,955,009
  5. Step 5: Solve for x
    x = 118,428,740,955,009/7,597,046
  6. Step 6: Final answer
    x = 15,588,788.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.