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Finding the Third Proportional to 776,790,141.75 and 1,663,765,717.50

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Solution

The third proportional to 776,790,141.75 and 1,663,765,717.50 is: 3,563,531,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,790,141.75 : 1,663,765,717.50 = 1,663,765,717.50 : x
  2. Step 2: Convert to fraction form
    776,790,141.75/1,663,765,717.50 = 1,663,765,717.50/x
  3. Step 3: Cross multiply
    776,790,141.75x = 1,663,765,717.50 × 1,663,765,717.50
  4. Step 4: Simplify right side
    776,790,141.75x = 2,768,116,362,728,289,792
  5. Step 5: Solve for x
    x = 2,768,116,362,728,289,792/776,790,141.75
  6. Step 6: Final answer
    x = 3,563,531,788.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.