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Finding the Third Proportional to 30,771,491.50 and 48,725,869

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Solution

The third proportional to 30,771,491.50 and 48,725,869 is: 77,156,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771,491.50 : 48,725,869 = 48,725,869 : x
  2. Step 2: Convert to fraction form
    30,771,491.50/48,725,869 = 48,725,869/x
  3. Step 3: Cross multiply
    30,771,491.50x = 48,725,869 × 48,725,869
  4. Step 4: Simplify right side
    30,771,491.50x = 2,374,210,309,805,161
  5. Step 5: Solve for x
    x = 2,374,210,309,805,161/30,771,491.50
  6. Step 6: Final answer
    x = 77,156,166.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.