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Finding the Third Proportional to 350,124,946 and 810,476,941

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Solution

The third proportional to 350,124,946 and 810,476,941 is: 1,876,109,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,124,946 : 810,476,941 = 810,476,941 : x
  2. Step 2: Convert to fraction form
    350,124,946/810,476,941 = 810,476,941/x
  3. Step 3: Cross multiply
    350,124,946x = 810,476,941 × 810,476,941
  4. Step 4: Simplify right side
    350,124,946x = 656,872,871,892,717,440
  5. Step 5: Solve for x
    x = 656,872,871,892,717,440/350,124,946
  6. Step 6: Final answer
    x = 1,876,109,884.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.