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Finding the Third Proportional to 5,470,881.75 and 8,581,894.31

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Solution

The third proportional to 5,470,881.75 and 8,581,894.31 is: 13,461,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,881.75 : 8,581,894.31 = 8,581,894.31 : x
  2. Step 2: Convert to fraction form
    5,470,881.75/8,581,894.31 = 8,581,894.31/x
  3. Step 3: Cross multiply
    5,470,881.75x = 8,581,894.31 × 8,581,894.31
  4. Step 4: Simplify right side
    5,470,881.75x = 73,648,909,990,919.84
  5. Step 5: Solve for x
    x = 73,648,909,990,919.84/5,470,881.75
  6. Step 6: Final answer
    x = 13,461,981.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.