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Finding the Third Proportional to 2,432,262 and 5,630,034

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Solution

The third proportional to 2,432,262 and 5,630,034 is: 13,032,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,262 : 5,630,034 = 5,630,034 : x
  2. Step 2: Convert to fraction form
    2,432,262/5,630,034 = 5,630,034/x
  3. Step 3: Cross multiply
    2,432,262x = 5,630,034 × 5,630,034
  4. Step 4: Simplify right side
    2,432,262x = 31,697,282,841,156
  5. Step 5: Solve for x
    x = 31,697,282,841,156/2,432,262
  6. Step 6: Final answer
    x = 13,032,018.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.