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Finding the Third Proportional to 4,312,629,976 and 6,624,727,242

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Solution

The third proportional to 4,312,629,976 and 6,624,727,242 is: 10,176,391,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,629,976 : 6,624,727,242 = 6,624,727,242 : x
  2. Step 2: Convert to fraction form
    4,312,629,976/6,624,727,242 = 6,624,727,242/x
  3. Step 3: Cross multiply
    4,312,629,976x = 6,624,727,242 × 6,624,727,242
  4. Step 4: Simplify right side
    4,312,629,976x = 43,887,011,030,896,926,720
  5. Step 5: Solve for x
    x = 43,887,011,030,896,926,720/4,312,629,976
  6. Step 6: Final answer
    x = 10,176,391,500.11

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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.