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Finding the Third Proportional to 411,416,145 and 878,628,667.50

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Solution

The third proportional to 411,416,145 and 878,628,667.50 is: 1,876,417,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,416,145 : 878,628,667.50 = 878,628,667.50 : x
  2. Step 2: Convert to fraction form
    411,416,145/878,628,667.50 = 878,628,667.50/x
  3. Step 3: Cross multiply
    411,416,145x = 878,628,667.50 × 878,628,667.50
  4. Step 4: Simplify right side
    411,416,145x = 771,988,335,352,825,600
  5. Step 5: Solve for x
    x = 771,988,335,352,825,600/411,416,145
  6. Step 6: Final answer
    x = 1,876,417,210.98

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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.