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Finding the Third Proportional to 14,058,256 and 30,694,688

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Solution

The third proportional to 14,058,256 and 30,694,688 is: 67,018,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058,256 : 30,694,688 = 30,694,688 : x
  2. Step 2: Convert to fraction form
    14,058,256/30,694,688 = 30,694,688/x
  3. Step 3: Cross multiply
    14,058,256x = 30,694,688 × 30,694,688
  4. Step 4: Simplify right side
    14,058,256x = 942,163,871,417,344
  5. Step 5: Solve for x
    x = 942,163,871,417,344/14,058,256
  6. Step 6: Final answer
    x = 67,018,545.64

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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.