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Finding the Third Proportional to 7,697,933.30 and 10,762,164.14

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Solution

The third proportional to 7,697,933.30 and 10,762,164.14 is: 15,046,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697,933.30 : 10,762,164.14 = 10,762,164.14 : x
  2. Step 2: Convert to fraction form
    7,697,933.30/10,762,164.14 = 10,762,164.14/x
  3. Step 3: Cross multiply
    7,697,933.30x = 10,762,164.14 × 10,762,164.14
  4. Step 4: Simplify right side
    7,697,933.30x = 115,824,176,989,754.64
  5. Step 5: Solve for x
    x = 115,824,176,989,754.64/7,697,933.30
  6. Step 6: Final answer
    x = 15,046,139.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.