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Finding the Third Proportional to 4,629,502.69 and 6,877,208.81

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Solution

The third proportional to 4,629,502.69 and 6,877,208.81 is: 10,216,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629,502.69 : 6,877,208.81 = 6,877,208.81 : x
  2. Step 2: Convert to fraction form
    4,629,502.69/6,877,208.81 = 6,877,208.81/x
  3. Step 3: Cross multiply
    4,629,502.69x = 6,877,208.81 × 6,877,208.81
  4. Step 4: Simplify right side
    4,629,502.69x = 47,296,001,050,727.66
  5. Step 5: Solve for x
    x = 47,296,001,050,727.66/4,629,502.69
  6. Step 6: Final answer
    x = 10,216,216.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.