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Finding the Third Proportional to 1,758,898,216 and 3,820,873,808

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Solution

The third proportional to 1,758,898,216 and 3,820,873,808 is: 8,300,125,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758,898,216 : 3,820,873,808 = 3,820,873,808 : x
  2. Step 2: Convert to fraction form
    1,758,898,216/3,820,873,808 = 3,820,873,808/x
  3. Step 3: Cross multiply
    1,758,898,216x = 3,820,873,808 × 3,820,873,808
  4. Step 4: Simplify right side
    1,758,898,216x = 14,599,076,656,660,420,608
  5. Step 5: Solve for x
    x = 14,599,076,656,660,420,608/1,758,898,216
  6. Step 6: Final answer
    x = 8,300,125,910.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.