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Finding the Third Proportional to 4,600,480 and 6,965,196

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Solution

The third proportional to 4,600,480 and 6,965,196 is: 10,545,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,480 : 6,965,196 = 6,965,196 : x
  2. Step 2: Convert to fraction form
    4,600,480/6,965,196 = 6,965,196/x
  3. Step 3: Cross multiply
    4,600,480x = 6,965,196 × 6,965,196
  4. Step 4: Simplify right side
    4,600,480x = 48,513,955,318,416
  5. Step 5: Solve for x
    x = 48,513,955,318,416/4,600,480
  6. Step 6: Final answer
    x = 10,545,411.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.