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Finding the Third Proportional to 73,116,377,574 and 159,213,066,972

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Solution

The third proportional to 73,116,377,574 and 159,213,066,972 is: 346,691,145,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,116,377,574 : 159,213,066,972 = 159,213,066,972 : x
  2. Step 2: Convert to fraction form
    73,116,377,574/159,213,066,972 = 159,213,066,972/x
  3. Step 3: Cross multiply
    73,116,377,574x = 159,213,066,972 × 159,213,066,972
  4. Step 4: Simplify right side
    73,116,377,574x = 25,348,800,694,630,557,417,472
  5. Step 5: Solve for x
    x = 25,348,800,694,630,557,417,472/73,116,377,574
  6. Step 6: Final answer
    x = 346,691,145,482.08

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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.