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Finding the Third Proportional to 784,727,152 and 1,682,122,064

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Solution

The third proportional to 784,727,152 and 1,682,122,064 is: 3,605,756,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,727,152 : 1,682,122,064 = 1,682,122,064 : x
  2. Step 2: Convert to fraction form
    784,727,152/1,682,122,064 = 1,682,122,064/x
  3. Step 3: Cross multiply
    784,727,152x = 1,682,122,064 × 1,682,122,064
  4. Step 4: Simplify right side
    784,727,152x = 2,829,534,638,195,619,840
  5. Step 5: Solve for x
    x = 2,829,534,638,195,619,840/784,727,152
  6. Step 6: Final answer
    x = 3,605,756,001.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.