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Finding the Third Proportional to 51,232,998 and 109,788,072

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Solution

The third proportional to 51,232,998 and 109,788,072 is: 235,266,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,998 : 109,788,072 = 109,788,072 : x
  2. Step 2: Convert to fraction form
    51,232,998/109,788,072 = 109,788,072/x
  3. Step 3: Cross multiply
    51,232,998x = 109,788,072 × 109,788,072
  4. Step 4: Simplify right side
    51,232,998x = 12,053,420,753,477,184
  5. Step 5: Solve for x
    x = 12,053,420,753,477,184/51,232,998
  6. Step 6: Final answer
    x = 235,266,746.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.