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Finding the Third Proportional to 2,733,028,871,407.80 and 5,877,369,161,970.50

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Solution

The third proportional to 2,733,028,871,407.80 and 5,877,369,161,970.50 is: 12,639,262,112,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733,028,871,407.80 : 5,877,369,161,970.50 = 5,877,369,161,970.50 : x
  2. Step 2: Convert to fraction form
    2,733,028,871,407.80/5,877,369,161,970.50 = 5,877,369,161,970.50/x
  3. Step 3: Cross multiply
    2,733,028,871,407.80x = 5,877,369,161,970.50 × 5,877,369,161,970.50
  4. Step 4: Simplify right side
    2,733,028,871,407.80x = 34,543,468,266,081,815,629,922,304
  5. Step 5: Solve for x
    x = 34,543,468,266,081,815,629,922,304/2,733,028,871,407.80
  6. Step 6: Final answer
    x = 12,639,262,112,254.33

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