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Finding the Third Proportional to 7,629,944 and 10,693,341

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Solution

The third proportional to 7,629,944 and 10,693,341 is: 14,986,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,944 : 10,693,341 = 10,693,341 : x
  2. Step 2: Convert to fraction form
    7,629,944/10,693,341 = 10,693,341/x
  3. Step 3: Cross multiply
    7,629,944x = 10,693,341 × 10,693,341
  4. Step 4: Simplify right side
    7,629,944x = 114,347,541,742,281
  5. Step 5: Solve for x
    x = 114,347,541,742,281/7,629,944
  6. Step 6: Final answer
    x = 14,986,681.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.