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Finding the Third Proportional to 415,926,667.13 and 878,262,157.69

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Solution

The third proportional to 415,926,667.13 and 878,262,157.69 is: 1,854,520,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,926,667.13 : 878,262,157.69 = 878,262,157.69 : x
  2. Step 2: Convert to fraction form
    415,926,667.13/878,262,157.69 = 878,262,157.69/x
  3. Step 3: Cross multiply
    415,926,667.13x = 878,262,157.69 × 878,262,157.69
  4. Step 4: Simplify right side
    415,926,667.13x = 771,344,417,625,903,104
  5. Step 5: Solve for x
    x = 771,344,417,625,903,104/415,926,667.13
  6. Step 6: Final answer
    x = 1,854,520,228.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.