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Finding the Third Proportional to 2,931,100,576 and 6,321,354,368

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Solution

The third proportional to 2,931,100,576 and 6,321,354,368 is: 13,632,940,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,100,576 : 6,321,354,368 = 6,321,354,368 : x
  2. Step 2: Convert to fraction form
    2,931,100,576/6,321,354,368 = 6,321,354,368/x
  3. Step 3: Cross multiply
    2,931,100,576x = 6,321,354,368 × 6,321,354,368
  4. Step 4: Simplify right side
    2,931,100,576x = 39,959,521,045,832,679,424
  5. Step 5: Solve for x
    x = 39,959,521,045,832,679,424/2,931,100,576
  6. Step 6: Final answer
    x = 13,632,940,941.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.