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Finding the Third Proportional to 10,640,364 and 16,509,465

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Solution

The third proportional to 10,640,364 and 16,509,465 is: 25,615,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640,364 : 16,509,465 = 16,509,465 : x
  2. Step 2: Convert to fraction form
    10,640,364/16,509,465 = 16,509,465/x
  3. Step 3: Cross multiply
    10,640,364x = 16,509,465 × 16,509,465
  4. Step 4: Simplify right side
    10,640,364x = 272,562,434,586,225
  5. Step 5: Solve for x
    x = 272,562,434,586,225/10,640,364
  6. Step 6: Final answer
    x = 25,615,893.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.