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Finding the Third Proportional to 689,470,029.58 and 967,462,938.69

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Solution

The third proportional to 689,470,029.58 and 967,462,938.69 is: 1,357,542,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,470,029.58 : 967,462,938.69 = 967,462,938.69 : x
  2. Step 2: Convert to fraction form
    689,470,029.58/967,462,938.69 = 967,462,938.69/x
  3. Step 3: Cross multiply
    689,470,029.58x = 967,462,938.69 × 967,462,938.69
  4. Step 4: Simplify right side
    689,470,029.58x = 935,984,537,747,107,584
  5. Step 5: Solve for x
    x = 935,984,537,747,107,584/689,470,029.58
  6. Step 6: Final answer
    x = 1,357,542,021.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.