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Finding the Third Proportional to 535,195,089 and 1,152,377,592

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Solution

The third proportional to 535,195,089 and 1,152,377,592 is: 2,481,289,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,195,089 : 1,152,377,592 = 1,152,377,592 : x
  2. Step 2: Convert to fraction form
    535,195,089/1,152,377,592 = 1,152,377,592/x
  3. Step 3: Cross multiply
    535,195,089x = 1,152,377,592 × 1,152,377,592
  4. Step 4: Simplify right side
    535,195,089x = 1,327,974,114,543,718,400
  5. Step 5: Solve for x
    x = 1,327,974,114,543,718,400/535,195,089
  6. Step 6: Final answer
    x = 2,481,289,798.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.