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Finding the Third Proportional to 5,687,868.94 and 8,048,159.16

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Solution

The third proportional to 5,687,868.94 and 8,048,159.16 is: 11,387,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687,868.94 : 8,048,159.16 = 8,048,159.16 : x
  2. Step 2: Convert to fraction form
    5,687,868.94/8,048,159.16 = 8,048,159.16/x
  3. Step 3: Cross multiply
    5,687,868.94x = 8,048,159.16 × 8,048,159.16
  4. Step 4: Simplify right side
    5,687,868.94x = 64,772,865,804,330.71
  5. Step 5: Solve for x
    x = 64,772,865,804,330.71/5,687,868.94
  6. Step 6: Final answer
    x = 11,387,897.03

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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.