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Finding the Third Proportional to 1,293,710,571 and 2,814,092,487

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Solution

The third proportional to 1,293,710,571 and 2,814,092,487 is: 6,121,242,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,710,571 : 2,814,092,487 = 2,814,092,487 : x
  2. Step 2: Convert to fraction form
    1,293,710,571/2,814,092,487 = 2,814,092,487/x
  3. Step 3: Cross multiply
    1,293,710,571x = 2,814,092,487 × 2,814,092,487
  4. Step 4: Simplify right side
    1,293,710,571x = 7,919,116,525,389,845,504
  5. Step 5: Solve for x
    x = 7,919,116,525,389,845,504/1,293,710,571
  6. Step 6: Final answer
    x = 6,121,242,805.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.