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Finding the Third Proportional to 10,546,959,672 and 22,544,420,283

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Solution

The third proportional to 10,546,959,672 and 22,544,420,283 is: 48,189,326,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546,959,672 : 22,544,420,283 = 22,544,420,283 : x
  2. Step 2: Convert to fraction form
    10,546,959,672/22,544,420,283 = 22,544,420,283/x
  3. Step 3: Cross multiply
    10,546,959,672x = 22,544,420,283 × 22,544,420,283
  4. Step 4: Simplify right side
    10,546,959,672x = 508,250,885,896,541,831,168
  5. Step 5: Solve for x
    x = 508,250,885,896,541,831,168/10,546,959,672
  6. Step 6: Final answer
    x = 48,189,326,754.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.