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Finding the Third Proportional to 35,149,441,608 and 77,014,092,888

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Solution

The third proportional to 35,149,441,608 and 77,014,092,888 is: 168,741,528,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,149,441,608 : 77,014,092,888 = 77,014,092,888 : x
  2. Step 2: Convert to fraction form
    35,149,441,608/77,014,092,888 = 77,014,092,888/x
  3. Step 3: Cross multiply
    35,149,441,608x = 77,014,092,888 × 77,014,092,888
  4. Step 4: Simplify right side
    35,149,441,608x = 5,931,170,503,361,492,418,560
  5. Step 5: Solve for x
    x = 5,931,170,503,361,492,418,560/35,149,441,608
  6. Step 6: Final answer
    x = 168,741,528,514.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.