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Finding the Third Proportional to 2,367,071,738 and 5,146,144,964

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Solution

The third proportional to 2,367,071,738 and 5,146,144,964 is: 11,188,003,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,071,738 : 5,146,144,964 = 5,146,144,964 : x
  2. Step 2: Convert to fraction form
    2,367,071,738/5,146,144,964 = 5,146,144,964/x
  3. Step 3: Cross multiply
    2,367,071,738x = 5,146,144,964 × 5,146,144,964
  4. Step 4: Simplify right side
    2,367,071,738x = 26,482,807,990,502,559,744
  5. Step 5: Solve for x
    x = 26,482,807,990,502,559,744/2,367,071,738
  6. Step 6: Final answer
    x = 11,188,003,965.13

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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.