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Finding the Third Proportional to 2,656,041.05 and 5,807,543.91

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Solution

The third proportional to 2,656,041.05 and 5,807,543.91 is: 12,698,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,041.05 : 5,807,543.91 = 5,807,543.91 : x
  2. Step 2: Convert to fraction form
    2,656,041.05/5,807,543.91 = 5,807,543.91/x
  3. Step 3: Cross multiply
    2,656,041.05x = 5,807,543.91 × 5,807,543.91
  4. Step 4: Simplify right side
    2,656,041.05x = 33,727,566,223,021.51
  5. Step 5: Solve for x
    x = 33,727,566,223,021.51/2,656,041.05
  6. Step 6: Final answer
    x = 12,698,435.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.