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Finding the Third Proportional to 7,583,824.13 and 10,730,878.69

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Solution

The third proportional to 7,583,824.13 and 10,730,878.69 is: 15,183,864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,824.13 : 10,730,878.69 = 10,730,878.69 : x
  2. Step 2: Convert to fraction form
    7,583,824.13/10,730,878.69 = 10,730,878.69/x
  3. Step 3: Cross multiply
    7,583,824.13x = 10,730,878.69 × 10,730,878.69
  4. Step 4: Simplify right side
    7,583,824.13x = 115,151,757,405,841.72
  5. Step 5: Solve for x
    x = 115,151,757,405,841.72/7,583,824.13
  6. Step 6: Final answer
    x = 15,183,864.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.