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Finding the Third Proportional to 32,046,039,960 and 47,109,100,338

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Solution

The third proportional to 32,046,039,960 and 47,109,100,338 is: 69,252,467,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046,039,960 : 47,109,100,338 = 47,109,100,338 : x
  2. Step 2: Convert to fraction form
    32,046,039,960/47,109,100,338 = 47,109,100,338/x
  3. Step 3: Cross multiply
    32,046,039,960x = 47,109,100,338 × 47,109,100,338
  4. Step 4: Simplify right side
    32,046,039,960x = 2,219,267,334,655,751,749,632
  5. Step 5: Solve for x
    x = 2,219,267,334,655,751,749,632/32,046,039,960
  6. Step 6: Final answer
    x = 69,252,467,307.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.