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Finding the Third Proportional to 326,414,909.81 and 716,954,889.94

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Solution

The third proportional to 326,414,909.81 and 716,954,889.94 is: 1,574,757,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,414,909.81 : 716,954,889.94 = 716,954,889.94 : x
  2. Step 2: Convert to fraction form
    326,414,909.81/716,954,889.94 = 716,954,889.94/x
  3. Step 3: Cross multiply
    326,414,909.81x = 716,954,889.94 × 716,954,889.94
  4. Step 4: Simplify right side
    326,414,909.81x = 514,024,314,205,292,736
  5. Step 5: Solve for x
    x = 514,024,314,205,292,736/326,414,909.81
  6. Step 6: Final answer
    x = 1,574,757,459.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.