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Finding the Third Proportional to 4,650,594.75 and 6,980,528.25

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Solution

The third proportional to 4,650,594.75 and 6,980,528.25 is: 10,477,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650,594.75 : 6,980,528.25 = 6,980,528.25 : x
  2. Step 2: Convert to fraction form
    4,650,594.75/6,980,528.25 = 6,980,528.25/x
  3. Step 3: Cross multiply
    4,650,594.75x = 6,980,528.25 × 6,980,528.25
  4. Step 4: Simplify right side
    4,650,594.75x = 48,727,774,649,048.06
  5. Step 5: Solve for x
    x = 48,727,774,649,048.06/4,650,594.75
  6. Step 6: Final answer
    x = 10,477,751.18

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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.