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Finding the Third Proportional to 293,579,823 and 466,405,513.50

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Solution

The third proportional to 293,579,823 and 466,405,513.50 is: 740,970,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,579,823 : 466,405,513.50 = 466,405,513.50 : x
  2. Step 2: Convert to fraction form
    293,579,823/466,405,513.50 = 466,405,513.50/x
  3. Step 3: Cross multiply
    293,579,823x = 466,405,513.50 × 466,405,513.50
  4. Step 4: Simplify right side
    293,579,823x = 217,534,103,023,198,688
  5. Step 5: Solve for x
    x = 217,534,103,023,198,688/293,579,823
  6. Step 6: Final answer
    x = 740,970,890.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.