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Finding the Third Proportional to 3,197,386,890 and 4,796,080,335

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Solution

The third proportional to 3,197,386,890 and 4,796,080,335 is: 7,194,120,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,386,890 : 4,796,080,335 = 4,796,080,335 : x
  2. Step 2: Convert to fraction form
    3,197,386,890/4,796,080,335 = 4,796,080,335/x
  3. Step 3: Cross multiply
    3,197,386,890x = 4,796,080,335 × 4,796,080,335
  4. Step 4: Simplify right side
    3,197,386,890x = 23,002,386,579,773,710,336
  5. Step 5: Solve for x
    x = 23,002,386,579,773,710,336/3,197,386,890
  6. Step 6: Final answer
    x = 7,194,120,502.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.