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Finding the Third Proportional to 4,973,646.38 and 7,908,863.63

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Solution

The third proportional to 4,973,646.38 and 7,908,863.63 is: 12,576,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,646.38 : 7,908,863.63 = 7,908,863.63 : x
  2. Step 2: Convert to fraction form
    4,973,646.38/7,908,863.63 = 7,908,863.63/x
  3. Step 3: Cross multiply
    4,973,646.38x = 7,908,863.63 × 7,908,863.63
  4. Step 4: Simplify right side
    4,973,646.38x = 62,550,123,838,848.14
  5. Step 5: Solve for x
    x = 62,550,123,838,848.14/4,973,646.38
  6. Step 6: Final answer
    x = 12,576,311.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.