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Finding the Third Proportional to 39,343,221,029 and 60,435,999,845

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Solution

The third proportional to 39,343,221,029 and 60,435,999,845 is: 92,837,088,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,343,221,029 : 60,435,999,845 = 60,435,999,845 : x
  2. Step 2: Convert to fraction form
    39,343,221,029/60,435,999,845 = 60,435,999,845/x
  3. Step 3: Cross multiply
    39,343,221,029x = 60,435,999,845 × 60,435,999,845
  4. Step 4: Simplify right side
    39,343,221,029x = 3,652,510,077,264,839,835,648
  5. Step 5: Solve for x
    x = 3,652,510,077,264,839,835,648/39,343,221,029
  6. Step 6: Final answer
    x = 92,837,088,111.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.