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Finding the Third Proportional to 245,180,536 and 533,407,456

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Solution

The third proportional to 245,180,536 and 533,407,456 is: 1,160,465,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,180,536 : 533,407,456 = 533,407,456 : x
  2. Step 2: Convert to fraction form
    245,180,536/533,407,456 = 533,407,456/x
  3. Step 3: Cross multiply
    245,180,536x = 533,407,456 × 533,407,456
  4. Step 4: Simplify right side
    245,180,536x = 284,523,514,116,391,936
  5. Step 5: Solve for x
    x = 284,523,514,116,391,936/245,180,536
  6. Step 6: Final answer
    x = 1,160,465,340.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.