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Finding the Third Proportional to 847,138,716 and 1,238,197,498.88

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Solution

The third proportional to 847,138,716 and 1,238,197,498.88 is: 1,809,778,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,138,716 : 1,238,197,498.88 = 1,238,197,498.88 : x
  2. Step 2: Convert to fraction form
    847,138,716/1,238,197,498.88 = 1,238,197,498.88/x
  3. Step 3: Cross multiply
    847,138,716x = 1,238,197,498.88 × 1,238,197,498.88
  4. Step 4: Simplify right side
    847,138,716x = 1,533,133,046,220,305,664
  5. Step 5: Solve for x
    x = 1,533,133,046,220,305,664/847,138,716
  6. Step 6: Final answer
    x = 1,809,778,041.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.