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Finding the Third Proportional to 3,116,064.94 and 4,661,641.76

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Solution

The third proportional to 3,116,064.94 and 4,661,641.76 is: 6,973,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,064.94 : 4,661,641.76 = 4,661,641.76 : x
  2. Step 2: Convert to fraction form
    3,116,064.94/4,661,641.76 = 4,661,641.76/x
  3. Step 3: Cross multiply
    3,116,064.94x = 4,661,641.76 × 4,661,641.76
  4. Step 4: Simplify right side
    3,116,064.94x = 21,730,903,878,181.21
  5. Step 5: Solve for x
    x = 21,730,903,878,181.21/3,116,064.94
  6. Step 6: Final answer
    x = 6,973,828.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.