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Finding the Third Proportional to 407,510,119.13 and 635,478,954.19

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Solution

The third proportional to 407,510,119.13 and 635,478,954.19 is: 990,977,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,510,119.13 : 635,478,954.19 = 635,478,954.19 : x
  2. Step 2: Convert to fraction form
    407,510,119.13/635,478,954.19 = 635,478,954.19/x
  3. Step 3: Cross multiply
    407,510,119.13x = 635,478,954.19 × 635,478,954.19
  4. Step 4: Simplify right side
    407,510,119.13x = 403,833,501,215,238,720
  5. Step 5: Solve for x
    x = 403,833,501,215,238,720/407,510,119.13
  6. Step 6: Final answer
    x = 990,977,848.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.