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Finding the Third Proportional to 64,646,363,104 and 151,043,073,838

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Solution

The third proportional to 64,646,363,104 and 151,043,073,838 is: 352,904,773,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646,363,104 : 151,043,073,838 = 151,043,073,838 : x
  2. Step 2: Convert to fraction form
    64,646,363,104/151,043,073,838 = 151,043,073,838/x
  3. Step 3: Cross multiply
    64,646,363,104x = 151,043,073,838 × 151,043,073,838
  4. Step 4: Simplify right side
    64,646,363,104x = 22,814,010,154,431,518,081,024
  5. Step 5: Solve for x
    x = 22,814,010,154,431,518,081,024/64,646,363,104
  6. Step 6: Final answer
    x = 352,904,773,896.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.