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Finding the Third Proportional to 30,695,877,212 and 66,796,918,100

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Solution

The third proportional to 30,695,877,212 and 66,796,918,100 is: 145,355,945,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695,877,212 : 66,796,918,100 = 66,796,918,100 : x
  2. Step 2: Convert to fraction form
    30,695,877,212/66,796,918,100 = 66,796,918,100/x
  3. Step 3: Cross multiply
    30,695,877,212x = 66,796,918,100 × 66,796,918,100
  4. Step 4: Simplify right side
    30,695,877,212x = 4,461,828,267,658,107,682,816
  5. Step 5: Solve for x
    x = 4,461,828,267,658,107,682,816/30,695,877,212
  6. Step 6: Final answer
    x = 145,355,945,909.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.