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Finding the Third Proportional to 123,348,664 and 274,270,208

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Solution

The third proportional to 123,348,664 and 274,270,208 is: 609,849,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,348,664 : 274,270,208 = 274,270,208 : x
  2. Step 2: Convert to fraction form
    123,348,664/274,270,208 = 274,270,208/x
  3. Step 3: Cross multiply
    123,348,664x = 274,270,208 × 274,270,208
  4. Step 4: Simplify right side
    123,348,664x = 75,224,146,996,363,264
  5. Step 5: Solve for x
    x = 75,224,146,996,363,264/123,348,664
  6. Step 6: Final answer
    x = 609,849,710.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.