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Finding the Third Proportional to 5,451,196,402 and 11,832,736,314

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Solution

The third proportional to 5,451,196,402 and 11,832,736,314 is: 25,684,939,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,196,402 : 11,832,736,314 = 11,832,736,314 : x
  2. Step 2: Convert to fraction form
    5,451,196,402/11,832,736,314 = 11,832,736,314/x
  3. Step 3: Cross multiply
    5,451,196,402x = 11,832,736,314 × 11,832,736,314
  4. Step 4: Simplify right side
    5,451,196,402x = 140,013,648,676,654,301,184
  5. Step 5: Solve for x
    x = 140,013,648,676,654,301,184/5,451,196,402
  6. Step 6: Final answer
    x = 25,684,939,296.13

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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.