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Finding the Third Proportional to 11,247,031,674 and 24,186,702,924

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Solution

The third proportional to 11,247,031,674 and 24,186,702,924 is: 52,013,421,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247,031,674 : 24,186,702,924 = 24,186,702,924 : x
  2. Step 2: Convert to fraction form
    11,247,031,674/24,186,702,924 = 24,186,702,924/x
  3. Step 3: Cross multiply
    11,247,031,674x = 24,186,702,924 × 24,186,702,924
  4. Step 4: Simplify right side
    11,247,031,674x = 584,996,598,333,830,135,808
  5. Step 5: Solve for x
    x = 584,996,598,333,830,135,808/11,247,031,674
  6. Step 6: Final answer
    x = 52,013,421,433.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.