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Finding the Third Proportional to 52,211,252 and 110,646,490

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Solution

The third proportional to 52,211,252 and 110,646,490 is: 234,482,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211,252 : 110,646,490 = 110,646,490 : x
  2. Step 2: Convert to fraction form
    52,211,252/110,646,490 = 110,646,490/x
  3. Step 3: Cross multiply
    52,211,252x = 110,646,490 × 110,646,490
  4. Step 4: Simplify right side
    52,211,252x = 12,242,645,749,320,100
  5. Step 5: Solve for x
    x = 12,242,645,749,320,100/52,211,252
  6. Step 6: Final answer
    x = 234,482,899.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.