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Finding the Third Proportional to 70,346,363,384 and 151,712,376,304

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Solution

The third proportional to 70,346,363,384 and 151,712,376,304 is: 327,190,262,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,346,363,384 : 151,712,376,304 = 151,712,376,304 : x
  2. Step 2: Convert to fraction form
    70,346,363,384/151,712,376,304 = 151,712,376,304/x
  3. Step 3: Cross multiply
    70,346,363,384x = 151,712,376,304 × 151,712,376,304
  4. Step 4: Simplify right side
    70,346,363,384x = 23,016,645,123,806,500,749,312
  5. Step 5: Solve for x
    x = 23,016,645,123,806,500,749,312/70,346,363,384
  6. Step 6: Final answer
    x = 327,190,262,816.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.