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Finding the Third Proportional to 240,604,938 and 515,741,543

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Solution

The third proportional to 240,604,938 and 515,741,543 is: 1,105,502,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,604,938 : 515,741,543 = 515,741,543 : x
  2. Step 2: Convert to fraction form
    240,604,938/515,741,543 = 515,741,543/x
  3. Step 3: Cross multiply
    240,604,938x = 515,741,543 × 515,741,543
  4. Step 4: Simplify right side
    240,604,938x = 265,989,339,176,020,864
  5. Step 5: Solve for x
    x = 265,989,339,176,020,864/240,604,938
  6. Step 6: Final answer
    x = 1,105,502,411.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.