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Finding the Third Proportional to 4,561,656.75 and 6,828,897.38

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Solution

The third proportional to 4,561,656.75 and 6,828,897.38 is: 10,223,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561,656.75 : 6,828,897.38 = 6,828,897.38 : x
  2. Step 2: Convert to fraction form
    4,561,656.75/6,828,897.38 = 6,828,897.38/x
  3. Step 3: Cross multiply
    4,561,656.75x = 6,828,897.38 × 6,828,897.38
  4. Step 4: Simplify right side
    4,561,656.75x = 46,633,839,358,281.89
  5. Step 5: Solve for x
    x = 46,633,839,358,281.89/4,561,656.75
  6. Step 6: Final answer
    x = 10,223,004.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.