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Finding the Third Proportional to 39,609,967 and 85,076,862

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Solution

The third proportional to 39,609,967 and 85,076,862 is: 182,733,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609,967 : 85,076,862 = 85,076,862 : x
  2. Step 2: Convert to fraction form
    39,609,967/85,076,862 = 85,076,862/x
  3. Step 3: Cross multiply
    39,609,967x = 85,076,862 × 85,076,862
  4. Step 4: Simplify right side
    39,609,967x = 7,238,072,447,767,044
  5. Step 5: Solve for x
    x = 7,238,072,447,767,044/39,609,967
  6. Step 6: Final answer
    x = 182,733,614.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.