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Finding the Third Proportional to 9,090,894,818 and 21,240,432,273

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Solution

The third proportional to 9,090,894,818 and 21,240,432,273 is: 49,627,233,861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090,894,818 : 21,240,432,273 = 21,240,432,273 : x
  2. Step 2: Convert to fraction form
    9,090,894,818/21,240,432,273 = 21,240,432,273/x
  3. Step 3: Cross multiply
    9,090,894,818x = 21,240,432,273 × 21,240,432,273
  4. Step 4: Simplify right side
    9,090,894,818x = 451,155,963,143,899,971,584
  5. Step 5: Solve for x
    x = 451,155,963,143,899,971,584/9,090,894,818
  6. Step 6: Final answer
    x = 49,627,233,861.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.