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Finding the Third Proportional to 997,024,956.75 and 2,307,932,358.75

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Solution

The third proportional to 997,024,956.75 and 2,307,932,358.75 is: 5,342,445,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,024,956.75 : 2,307,932,358.75 = 2,307,932,358.75 : x
  2. Step 2: Convert to fraction form
    997,024,956.75/2,307,932,358.75 = 2,307,932,358.75/x
  3. Step 3: Cross multiply
    997,024,956.75x = 2,307,932,358.75 × 2,307,932,358.75
  4. Step 4: Simplify right side
    997,024,956.75x = 5,326,551,772,565,339,136
  5. Step 5: Solve for x
    x = 5,326,551,772,565,339,136/997,024,956.75
  6. Step 6: Final answer
    x = 5,342,445,779.82

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.