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Finding the Third Proportional to 10,363,623,672 and 22,567,359,984

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Solution

The third proportional to 10,363,623,672 and 22,567,359,984 is: 49,141,666,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,623,672 : 22,567,359,984 = 22,567,359,984 : x
  2. Step 2: Convert to fraction form
    10,363,623,672/22,567,359,984 = 22,567,359,984/x
  3. Step 3: Cross multiply
    10,363,623,672x = 22,567,359,984 × 22,567,359,984
  4. Step 4: Simplify right side
    10,363,623,672x = 509,285,736,647,444,463,616
  5. Step 5: Solve for x
    x = 509,285,736,647,444,463,616/10,363,623,672
  6. Step 6: Final answer
    x = 49,141,666,348.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.