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Finding the Third Proportional to 52,211,130 and 110,646,255

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Solution

The third proportional to 52,211,130 and 110,646,255 is: 234,482,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,211,130 : 110,646,255 = 110,646,255 : x
  2. Step 2: Convert to fraction form
    52,211,130/110,646,255 = 110,646,255/x
  3. Step 3: Cross multiply
    52,211,130x = 110,646,255 × 110,646,255
  4. Step 4: Simplify right side
    52,211,130x = 12,242,593,745,525,024
  5. Step 5: Solve for x
    x = 12,242,593,745,525,024/52,211,130
  6. Step 6: Final answer
    x = 234,482,451.26

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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.