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Finding the Third Proportional to 1,293,710,574 and 2,814,092,493

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Solution

The third proportional to 1,293,710,574 and 2,814,092,493 is: 6,121,242,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,710,574 : 2,814,092,493 = 2,814,092,493 : x
  2. Step 2: Convert to fraction form
    1,293,710,574/2,814,092,493 = 2,814,092,493/x
  3. Step 3: Cross multiply
    1,293,710,574x = 2,814,092,493 × 2,814,092,493
  4. Step 4: Simplify right side
    1,293,710,574x = 7,919,116,559,158,955,008
  5. Step 5: Solve for x
    x = 7,919,116,559,158,955,008/1,293,710,574
  6. Step 6: Final answer
    x = 6,121,242,817.61

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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.