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Finding the Third Proportional to 5,258,525.06 and 8,077,740.19

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Solution

The third proportional to 5,258,525.06 and 8,077,740.19 is: 12,408,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258,525.06 : 8,077,740.19 = 8,077,740.19 : x
  2. Step 2: Convert to fraction form
    5,258,525.06/8,077,740.19 = 8,077,740.19/x
  3. Step 3: Cross multiply
    5,258,525.06x = 8,077,740.19 × 8,077,740.19
  4. Step 4: Simplify right side
    5,258,525.06x = 65,249,886,536,752.53
  5. Step 5: Solve for x
    x = 65,249,886,536,752.53/5,258,525.06
  6. Step 6: Final answer
    x = 12,408,400.79

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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.