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Finding the Third Proportional to 42,586,884 and 92,348,640

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Solution

The third proportional to 42,586,884 and 92,348,640 is: 200,255,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586,884 : 92,348,640 = 92,348,640 : x
  2. Step 2: Convert to fraction form
    42,586,884/92,348,640 = 92,348,640/x
  3. Step 3: Cross multiply
    42,586,884x = 92,348,640 × 92,348,640
  4. Step 4: Simplify right side
    42,586,884x = 8,528,271,309,849,600
  5. Step 5: Solve for x
    x = 8,528,271,309,849,600/42,586,884
  6. Step 6: Final answer
    x = 200,255,818.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.