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Finding the Third Proportional to 7,663,616 and 12,772,148

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Solution

The third proportional to 7,663,616 and 12,772,148 is: 21,286,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,616 : 12,772,148 = 12,772,148 : x
  2. Step 2: Convert to fraction form
    7,663,616/12,772,148 = 12,772,148/x
  3. Step 3: Cross multiply
    7,663,616x = 12,772,148 × 12,772,148
  4. Step 4: Simplify right side
    7,663,616x = 163,127,764,533,904
  5. Step 5: Solve for x
    x = 163,127,764,533,904/7,663,616
  6. Step 6: Final answer
    x = 21,286,004.48

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.