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Finding the Third Proportional to 5,110,223.06 and 7,854,764.06

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Solution

The third proportional to 5,110,223.06 and 7,854,764.06 is: 12,073,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110,223.06 : 7,854,764.06 = 7,854,764.06 : x
  2. Step 2: Convert to fraction form
    5,110,223.06/7,854,764.06 = 7,854,764.06/x
  3. Step 3: Cross multiply
    5,110,223.06x = 7,854,764.06 × 7,854,764.06
  4. Step 4: Simplify right side
    5,110,223.06x = 61,697,318,477,541.50
  5. Step 5: Solve for x
    x = 61,697,318,477,541.50/5,110,223.06
  6. Step 6: Final answer
    x = 12,073,312.21

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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.