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Finding the Third Proportional to 14,005,875 and 30,465,726

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Solution

The third proportional to 14,005,875 and 30,465,726 is: 66,269,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005,875 : 30,465,726 = 30,465,726 : x
  2. Step 2: Convert to fraction form
    14,005,875/30,465,726 = 30,465,726/x
  3. Step 3: Cross multiply
    14,005,875x = 30,465,726 × 30,465,726
  4. Step 4: Simplify right side
    14,005,875x = 928,160,460,707,076
  5. Step 5: Solve for x
    x = 928,160,460,707,076/14,005,875
  6. Step 6: Final answer
    x = 66,269,366.30

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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.