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Finding the Third Proportional to 51,043,668 and 78,457,810

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Solution

The third proportional to 51,043,668 and 78,457,810 is: 120,595,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,668 : 78,457,810 = 78,457,810 : x
  2. Step 2: Convert to fraction form
    51,043,668/78,457,810 = 78,457,810/x
  3. Step 3: Cross multiply
    51,043,668x = 78,457,810 × 78,457,810
  4. Step 4: Simplify right side
    51,043,668x = 6,155,627,949,996,100
  5. Step 5: Solve for x
    x = 6,155,627,949,996,100/51,043,668
  6. Step 6: Final answer
    x = 120,595,329.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.