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Finding the Third Proportional to 7,293,735 and 15,871,806

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Solution

The third proportional to 7,293,735 and 15,871,806 is: 34,538,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293,735 : 15,871,806 = 15,871,806 : x
  2. Step 2: Convert to fraction form
    7,293,735/15,871,806 = 15,871,806/x
  3. Step 3: Cross multiply
    7,293,735x = 15,871,806 × 15,871,806
  4. Step 4: Simplify right side
    7,293,735x = 251,914,225,701,636
  5. Step 5: Solve for x
    x = 251,914,225,701,636/7,293,735
  6. Step 6: Final answer
    x = 34,538,439.59

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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.