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Finding the Third Proportional to 9,302,705,158 and 14,298,930,504

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Solution

The third proportional to 9,302,705,158 and 14,298,930,504 is: 21,978,490,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302,705,158 : 14,298,930,504 = 14,298,930,504 : x
  2. Step 2: Convert to fraction form
    9,302,705,158/14,298,930,504 = 14,298,930,504/x
  3. Step 3: Cross multiply
    9,302,705,158x = 14,298,930,504 × 14,298,930,504
  4. Step 4: Simplify right side
    9,302,705,158x = 204,459,413,558,221,701,120
  5. Step 5: Solve for x
    x = 204,459,413,558,221,701,120/9,302,705,158
  6. Step 6: Final answer
    x = 21,978,490,136.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.