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Finding the Third Proportional to 2,262,646,270 and 4,871,095,322

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Solution

The third proportional to 2,262,646,270 and 4,871,095,322 is: 10,486,645,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262,646,270 : 4,871,095,322 = 4,871,095,322 : x
  2. Step 2: Convert to fraction form
    2,262,646,270/4,871,095,322 = 4,871,095,322/x
  3. Step 3: Cross multiply
    2,262,646,270x = 4,871,095,322 × 4,871,095,322
  4. Step 4: Simplify right side
    2,262,646,270x = 23,727,569,636,010,283,008
  5. Step 5: Solve for x
    x = 23,727,569,636,010,283,008/2,262,646,270
  6. Step 6: Final answer
    x = 10,486,645,637.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.