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Finding the Third Proportional to 9,836,465,502 and 21,243,479,100

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Solution

The third proportional to 9,836,465,502 and 21,243,479,100 is: 45,878,817,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836,465,502 : 21,243,479,100 = 21,243,479,100 : x
  2. Step 2: Convert to fraction form
    9,836,465,502/21,243,479,100 = 21,243,479,100/x
  3. Step 3: Cross multiply
    9,836,465,502x = 21,243,479,100 × 21,243,479,100
  4. Step 4: Simplify right side
    9,836,465,502x = 451,285,404,272,136,814,592
  5. Step 5: Solve for x
    x = 451,285,404,272,136,814,592/9,836,465,502
  6. Step 6: Final answer
    x = 45,878,817,363.86

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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.