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Finding the Third Proportional to 693,672,384 and 1,424,118,424

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Solution

The third proportional to 693,672,384 and 1,424,118,424 is: 2,923,733,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,672,384 : 1,424,118,424 = 1,424,118,424 : x
  2. Step 2: Convert to fraction form
    693,672,384/1,424,118,424 = 1,424,118,424/x
  3. Step 3: Cross multiply
    693,672,384x = 1,424,118,424 × 1,424,118,424
  4. Step 4: Simplify right side
    693,672,384x = 2,028,113,285,576,243,712
  5. Step 5: Solve for x
    x = 2,028,113,285,576,243,712/693,672,384
  6. Step 6: Final answer
    x = 2,923,733,641.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.