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Finding the Third Proportional to 6,431,284,158 and 13,931,000,918

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Solution

The third proportional to 6,431,284,158 and 13,931,000,918 is: 30,176,366,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431,284,158 : 13,931,000,918 = 13,931,000,918 : x
  2. Step 2: Convert to fraction form
    6,431,284,158/13,931,000,918 = 13,931,000,918/x
  3. Step 3: Cross multiply
    6,431,284,158x = 13,931,000,918 × 13,931,000,918
  4. Step 4: Simplify right side
    6,431,284,158x = 194,072,786,577,316,839,424
  5. Step 5: Solve for x
    x = 194,072,786,577,316,839,424/6,431,284,158
  6. Step 6: Final answer
    x = 30,176,366,307.17

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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.