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Finding the Third Proportional to 5,196,231 and 7,484,953.50

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Solution

The third proportional to 5,196,231 and 7,484,953.50 is: 10,781,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,231 : 7,484,953.50 = 7,484,953.50 : x
  2. Step 2: Convert to fraction form
    5,196,231/7,484,953.50 = 7,484,953.50/x
  3. Step 3: Cross multiply
    5,196,231x = 7,484,953.50 × 7,484,953.50
  4. Step 4: Simplify right side
    5,196,231x = 56,024,528,897,162.25
  5. Step 5: Solve for x
    x = 56,024,528,897,162.25/5,196,231
  6. Step 6: Final answer
    x = 10,781,762.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.