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Finding the Third Proportional to 39,856,457 and 82,893,865

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Solution

The third proportional to 39,856,457 and 82,893,865 is: 172,403,504.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856,457 : 82,893,865 = 82,893,865 : x
  2. Step 2: Convert to fraction form
    39,856,457/82,893,865 = 82,893,865/x
  3. Step 3: Cross multiply
    39,856,457x = 82,893,865 × 82,893,865
  4. Step 4: Simplify right side
    39,856,457x = 6,871,392,854,638,225
  5. Step 5: Solve for x
    x = 6,871,392,854,638,225/39,856,457
  6. Step 6: Final answer
    x = 172,403,504.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.