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Finding the Third Proportional to 2,470,512.66 and 5,353,411.50

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Solution

The third proportional to 2,470,512.66 and 5,353,411.50 is: 11,600,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470,512.66 : 5,353,411.50 = 5,353,411.50 : x
  2. Step 2: Convert to fraction form
    2,470,512.66/5,353,411.50 = 5,353,411.50/x
  3. Step 3: Cross multiply
    2,470,512.66x = 5,353,411.50 × 5,353,411.50
  4. Step 4: Simplify right side
    2,470,512.66x = 28,659,014,688,332.25
  5. Step 5: Solve for x
    x = 28,659,014,688,332.25/2,470,512.66
  6. Step 6: Final answer
    x = 11,600,432.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.