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Finding the Third Proportional to 1,721,724,322 and 2,740,935,219

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Solution

The third proportional to 1,721,724,322 and 2,740,935,219 is: 4,363,489,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,724,322 : 2,740,935,219 = 2,740,935,219 : x
  2. Step 2: Convert to fraction form
    1,721,724,322/2,740,935,219 = 2,740,935,219/x
  3. Step 3: Cross multiply
    1,721,724,322x = 2,740,935,219 × 2,740,935,219
  4. Step 4: Simplify right side
    1,721,724,322x = 7,512,725,874,754,578,432
  5. Step 5: Solve for x
    x = 7,512,725,874,754,578,432/1,721,724,322
  6. Step 6: Final answer
    x = 4,363,489,426.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.