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Finding the Third Proportional to 5,748,729 and 12,518,058

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Solution

The third proportional to 5,748,729 and 12,518,058 is: 27,258,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,729 : 12,518,058 = 12,518,058 : x
  2. Step 2: Convert to fraction form
    5,748,729/12,518,058 = 12,518,058/x
  3. Step 3: Cross multiply
    5,748,729x = 12,518,058 × 12,518,058
  4. Step 4: Simplify right side
    5,748,729x = 156,701,776,091,364
  5. Step 5: Solve for x
    x = 156,701,776,091,364/5,748,729
  6. Step 6: Final answer
    x = 27,258,508.11

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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.