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Finding the Third Proportional to 7,544,154,222 and 15,870,110,640

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Solution

The third proportional to 7,544,154,222 and 15,870,110,640 is: 33,384,843,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544,154,222 : 15,870,110,640 = 15,870,110,640 : x
  2. Step 2: Convert to fraction form
    7,544,154,222/15,870,110,640 = 15,870,110,640/x
  3. Step 3: Cross multiply
    7,544,154,222x = 15,870,110,640 × 15,870,110,640
  4. Step 4: Simplify right side
    7,544,154,222x = 251,860,411,725,841,203,200
  5. Step 5: Solve for x
    x = 251,860,411,725,841,203,200/7,544,154,222
  6. Step 6: Final answer
    x = 33,384,843,988.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.