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Finding the Third Proportional to 46,301,850 and 68,114,439

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Solution

The third proportional to 46,301,850 and 68,114,439 is: 100,202,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,301,850 : 68,114,439 = 68,114,439 : x
  2. Step 2: Convert to fraction form
    46,301,850/68,114,439 = 68,114,439/x
  3. Step 3: Cross multiply
    46,301,850x = 68,114,439 × 68,114,439
  4. Step 4: Simplify right side
    46,301,850x = 4,639,576,800,284,721
  5. Step 5: Solve for x
    x = 4,639,576,800,284,721/46,301,850
  6. Step 6: Final answer
    x = 100,202,838.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.