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Finding the Third Proportional to 1,284,758,156,772 and 1,943,688,026,784

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Solution

The third proportional to 1,284,758,156,772 and 1,943,688,026,784 is: 2,940,571,441,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,758,156,772 : 1,943,688,026,784 = 1,943,688,026,784 : x
  2. Step 2: Convert to fraction form
    1,284,758,156,772/1,943,688,026,784 = 1,943,688,026,784/x
  3. Step 3: Cross multiply
    1,284,758,156,772x = 1,943,688,026,784 × 1,943,688,026,784
  4. Step 4: Simplify right side
    1,284,758,156,772x = 3,777,923,145,463,479,306,027,008
  5. Step 5: Solve for x
    x = 3,777,923,145,463,479,306,027,008/1,284,758,156,772
  6. Step 6: Final answer
    x = 2,940,571,441,831.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.