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Finding the Third Proportional to 10,487,312,464 and 22,470,496,844

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Solution

The third proportional to 10,487,312,464 and 22,470,496,844 is: 48,146,103,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487,312,464 : 22,470,496,844 = 22,470,496,844 : x
  2. Step 2: Convert to fraction form
    10,487,312,464/22,470,496,844 = 22,470,496,844/x
  3. Step 3: Cross multiply
    10,487,312,464x = 22,470,496,844 × 22,470,496,844
  4. Step 4: Simplify right side
    10,487,312,464x = 504,923,228,416,213,975,040
  5. Step 5: Solve for x
    x = 504,923,228,416,213,975,040/10,487,312,464
  6. Step 6: Final answer
    x = 48,146,103,222.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.