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Finding the Third Proportional to 242,453,546 and 531,847,348

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Solution

The third proportional to 242,453,546 and 531,847,348 is: 1,166,663,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,453,546 : 531,847,348 = 531,847,348 : x
  2. Step 2: Convert to fraction form
    242,453,546/531,847,348 = 531,847,348/x
  3. Step 3: Cross multiply
    242,453,546x = 531,847,348 × 531,847,348
  4. Step 4: Simplify right side
    242,453,546x = 282,861,601,574,633,088
  5. Step 5: Solve for x
    x = 282,861,601,574,633,088/242,453,546
  6. Step 6: Final answer
    x = 1,166,663,083.47

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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.