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Finding the Third Proportional to 3,077,058 and 6,695,943

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Solution

The third proportional to 3,077,058 and 6,695,943 is: 14,570,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,058 : 6,695,943 = 6,695,943 : x
  2. Step 2: Convert to fraction form
    3,077,058/6,695,943 = 6,695,943/x
  3. Step 3: Cross multiply
    3,077,058x = 6,695,943 × 6,695,943
  4. Step 4: Simplify right side
    3,077,058x = 44,835,652,659,249
  5. Step 5: Solve for x
    x = 44,835,652,659,249/3,077,058
  6. Step 6: Final answer
    x = 14,570,948.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.