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Finding the Third Proportional to 307,041,642 and 439,073,133

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Solution

The third proportional to 307,041,642 and 439,073,133 is: 627,879,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,041,642 : 439,073,133 = 439,073,133 : x
  2. Step 2: Convert to fraction form
    307,041,642/439,073,133 = 439,073,133/x
  3. Step 3: Cross multiply
    307,041,642x = 439,073,133 × 439,073,133
  4. Step 4: Simplify right side
    307,041,642x = 192,785,216,122,435,680
  5. Step 5: Solve for x
    x = 192,785,216,122,435,680/307,041,642
  6. Step 6: Final answer
    x = 627,879,706.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.