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Finding the Third Proportional to 14,423,875,952 and 31,330,740,950

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Solution

The third proportional to 14,423,875,952 and 31,330,740,950 is: 68,054,892,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423,875,952 : 31,330,740,950 = 31,330,740,950 : x
  2. Step 2: Convert to fraction form
    14,423,875,952/31,330,740,950 = 31,330,740,950/x
  3. Step 3: Cross multiply
    14,423,875,952x = 31,330,740,950 × 31,330,740,950
  4. Step 4: Simplify right side
    14,423,875,952x = 981,615,328,476,006,842,368
  5. Step 5: Solve for x
    x = 981,615,328,476,006,842,368/14,423,875,952
  6. Step 6: Final answer
    x = 68,054,892,578.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.