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Finding the Third Proportional to 292,508,812,520 and 411,916,865,184

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Solution

The third proportional to 292,508,812,520 and 411,916,865,184 is: 580,069,716,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,508,812,520 : 411,916,865,184 = 411,916,865,184 : x
  2. Step 2: Convert to fraction form
    292,508,812,520/411,916,865,184 = 411,916,865,184/x
  3. Step 3: Cross multiply
    292,508,812,520x = 411,916,865,184 × 411,916,865,184
  4. Step 4: Simplify right side
    292,508,812,520x = 169,675,503,823,013,640,404,992
  5. Step 5: Solve for x
    x = 169,675,503,823,013,640,404,992/292,508,812,520
  6. Step 6: Final answer
    x = 580,069,716,058.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.