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Finding the Third Proportional to 7,447,712 and 16,036,673

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Solution

The third proportional to 7,447,712 and 16,036,673 is: 34,530,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,712 : 16,036,673 = 16,036,673 : x
  2. Step 2: Convert to fraction form
    7,447,712/16,036,673 = 16,036,673/x
  3. Step 3: Cross multiply
    7,447,712x = 16,036,673 × 16,036,673
  4. Step 4: Simplify right side
    7,447,712x = 257,174,880,908,929
  5. Step 5: Solve for x
    x = 257,174,880,908,929/7,447,712
  6. Step 6: Final answer
    x = 34,530,723.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.