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Finding the Third Proportional to 293,360,823 and 621,697,108

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Solution

The third proportional to 293,360,823 and 621,697,108 is: 1,317,515,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,360,823 : 621,697,108 = 621,697,108 : x
  2. Step 2: Convert to fraction form
    293,360,823/621,697,108 = 621,697,108/x
  3. Step 3: Cross multiply
    293,360,823x = 621,697,108 × 621,697,108
  4. Step 4: Simplify right side
    293,360,823x = 386,507,294,095,563,648
  5. Step 5: Solve for x
    x = 386,507,294,095,563,648/293,360,823
  6. Step 6: Final answer
    x = 1,317,515,031.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.