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Finding the Third Proportional to 354,875,654.25 and 772,240,513.50

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Solution

The third proportional to 354,875,654.25 and 772,240,513.50 is: 1,680,463,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,875,654.25 : 772,240,513.50 = 772,240,513.50 : x
  2. Step 2: Convert to fraction form
    354,875,654.25/772,240,513.50 = 772,240,513.50/x
  3. Step 3: Cross multiply
    354,875,654.25x = 772,240,513.50 × 772,240,513.50
  4. Step 4: Simplify right side
    354,875,654.25x = 596,355,410,690,743,680
  5. Step 5: Solve for x
    x = 596,355,410,690,743,680/354,875,654.25
  6. Step 6: Final answer
    x = 1,680,463,011.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.