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Finding the Third Proportional to 9,137,103,345 and 12,328,097,737.50

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Solution

The third proportional to 9,137,103,345 and 12,328,097,737.50 is: 16,633,498,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,103,345 : 12,328,097,737.50 = 12,328,097,737.50 : x
  2. Step 2: Convert to fraction form
    9,137,103,345/12,328,097,737.50 = 12,328,097,737.50/x
  3. Step 3: Cross multiply
    9,137,103,345x = 12,328,097,737.50 × 12,328,097,737.50
  4. Step 4: Simplify right side
    9,137,103,345x = 151,981,993,825,352,613,888
  5. Step 5: Solve for x
    x = 151,981,993,825,352,613,888/9,137,103,345
  6. Step 6: Final answer
    x = 16,633,498,395.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.