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Finding the Third Proportional to 4,156,848 and 9,712,278

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Solution

The third proportional to 4,156,848 and 9,712,278 is: 22,692,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156,848 : 9,712,278 = 9,712,278 : x
  2. Step 2: Convert to fraction form
    4,156,848/9,712,278 = 9,712,278/x
  3. Step 3: Cross multiply
    4,156,848x = 9,712,278 × 9,712,278
  4. Step 4: Simplify right side
    4,156,848x = 94,328,343,949,284
  5. Step 5: Solve for x
    x = 94,328,343,949,284/4,156,848
  6. Step 6: Final answer
    x = 22,692,276.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.