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Finding the Third Proportional to 909,733,209.19 and 1,330,482,553.03

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Solution

The third proportional to 909,733,209.19 and 1,330,482,553.03 is: 1,945,827,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,733,209.19 : 1,330,482,553.03 = 1,330,482,553.03 : x
  2. Step 2: Convert to fraction form
    909,733,209.19/1,330,482,553.03 = 1,330,482,553.03/x
  3. Step 3: Cross multiply
    909,733,209.19x = 1,330,482,553.03 × 1,330,482,553.03
  4. Step 4: Simplify right side
    909,733,209.19x = 1,770,183,823,920,419,840
  5. Step 5: Solve for x
    x = 1,770,183,823,920,419,840/909,733,209.19
  6. Step 6: Final answer
    x = 1,945,827,420.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.