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Finding the Third Proportional to 671,098,851 and 1,458,362,238

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Solution

The third proportional to 671,098,851 and 1,458,362,238 is: 3,169,161,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,098,851 : 1,458,362,238 = 1,458,362,238 : x
  2. Step 2: Convert to fraction form
    671,098,851/1,458,362,238 = 1,458,362,238/x
  3. Step 3: Cross multiply
    671,098,851x = 1,458,362,238 × 1,458,362,238
  4. Step 4: Simplify right side
    671,098,851x = 2,126,820,417,224,368,640
  5. Step 5: Solve for x
    x = 2,126,820,417,224,368,640/671,098,851
  6. Step 6: Final answer
    x = 3,169,161,166.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.