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Finding the Third Proportional to 967,407,673.50 and 2,115,885,325.50

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Solution

The third proportional to 967,407,673.50 and 2,115,885,325.50 is: 4,627,801,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,407,673.50 : 2,115,885,325.50 = 2,115,885,325.50 : x
  2. Step 2: Convert to fraction form
    967,407,673.50/2,115,885,325.50 = 2,115,885,325.50/x
  3. Step 3: Cross multiply
    967,407,673.50x = 2,115,885,325.50 × 2,115,885,325.50
  4. Step 4: Simplify right side
    967,407,673.50x = 4,476,970,710,666,241,024
  5. Step 5: Solve for x
    x = 4,476,970,710,666,241,024/967,407,673.50
  6. Step 6: Final answer
    x = 4,627,801,529.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.