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Finding the Third Proportional to 2,910,910,448 and 4,752,752,379

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Solution

The third proportional to 2,910,910,448 and 4,752,752,379 is: 7,759,996,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,910,448 : 4,752,752,379 = 4,752,752,379 : x
  2. Step 2: Convert to fraction form
    2,910,910,448/4,752,752,379 = 4,752,752,379/x
  3. Step 3: Cross multiply
    2,910,910,448x = 4,752,752,379 × 4,752,752,379
  4. Step 4: Simplify right side
    2,910,910,448x = 22,588,655,176,090,161,152
  5. Step 5: Solve for x
    x = 22,588,655,176,090,161,152/2,910,910,448
  6. Step 6: Final answer
    x = 7,759,996,598.87

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.