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Finding the Third Proportional to 3,489,739,084,764 and 7,636,871,529,184

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Solution

The third proportional to 3,489,739,084,764 and 7,636,871,529,184 is: 16,712,368,843,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,739,084,764 : 7,636,871,529,184 = 7,636,871,529,184 : x
  2. Step 2: Convert to fraction form
    3,489,739,084,764/7,636,871,529,184 = 7,636,871,529,184/x
  3. Step 3: Cross multiply
    3,489,739,084,764x = 7,636,871,529,184 × 7,636,871,529,184
  4. Step 4: Simplify right side
    3,489,739,084,764x = 58,321,806,753,261,167,006,711,808
  5. Step 5: Solve for x
    x = 58,321,806,753,261,167,006,711,808/3,489,739,084,764
  6. Step 6: Final answer
    x = 16,712,368,843,817.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.