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Finding the Third Proportional to 5,258,506.08 and 8,077,706.65

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Solution

The third proportional to 5,258,506.08 and 8,077,706.65 is: 12,408,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,506.08 : 8,077,706.65 = 8,077,706.65 : x
  2. Step 2: Convert to fraction form
    5,258,506.08/8,077,706.65 = 8,077,706.65/x
  3. Step 3: Cross multiply
    5,258,506.08x = 8,077,706.65 × 8,077,706.65
  4. Step 4: Simplify right side
    5,258,506.08x = 65,249,344,698,211.39
  5. Step 5: Solve for x
    x = 65,249,344,698,211.39/5,258,506.08
  6. Step 6: Final answer
    x = 12,408,342.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.