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Finding the Third Proportional to 4,646,262 and 9,965,117

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Solution

The third proportional to 4,646,262 and 9,965,117 is: 21,372,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,262 : 9,965,117 = 9,965,117 : x
  2. Step 2: Convert to fraction form
    4,646,262/9,965,117 = 9,965,117/x
  3. Step 3: Cross multiply
    4,646,262x = 9,965,117 × 9,965,117
  4. Step 4: Simplify right side
    4,646,262x = 99,303,556,823,689
  5. Step 5: Solve for x
    x = 99,303,556,823,689/4,646,262
  6. Step 6: Final answer
    x = 21,372,784.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.