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Finding the Third Proportional to 10,487,312,447 and 22,470,496,809

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Solution

The third proportional to 10,487,312,447 and 22,470,496,809 is: 48,146,103,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487,312,447 : 22,470,496,809 = 22,470,496,809 : x
  2. Step 2: Convert to fraction form
    10,487,312,447/22,470,496,809 = 22,470,496,809/x
  3. Step 3: Cross multiply
    10,487,312,447x = 22,470,496,809 × 22,470,496,809
  4. Step 4: Simplify right side
    10,487,312,447x = 504,923,226,843,279,196,160
  5. Step 5: Solve for x
    x = 504,923,226,843,279,196,160/10,487,312,447
  6. Step 6: Final answer
    x = 48,146,103,150.36

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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.