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Finding the Third Proportional to 7,663,583 and 12,772,097

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Solution

The third proportional to 7,663,583 and 12,772,097 is: 21,285,926.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,583 : 12,772,097 = 12,772,097 : x
  2. Step 2: Convert to fraction form
    7,663,583/12,772,097 = 12,772,097/x
  3. Step 3: Cross multiply
    7,663,583x = 12,772,097 × 12,772,097
  4. Step 4: Simplify right side
    7,663,583x = 163,126,461,777,409
  5. Step 5: Solve for x
    x = 163,126,461,777,409/7,663,583
  6. Step 6: Final answer
    x = 21,285,926.15

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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.