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Finding the Third Proportional to 10,363,623,624 and 22,567,359,888

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Solution

The third proportional to 10,363,623,624 and 22,567,359,888 is: 49,141,666,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,623,624 : 22,567,359,888 = 22,567,359,888 : x
  2. Step 2: Convert to fraction form
    10,363,623,624/22,567,359,888 = 22,567,359,888/x
  3. Step 3: Cross multiply
    10,363,623,624x = 22,567,359,888 × 22,567,359,888
  4. Step 4: Simplify right side
    10,363,623,624x = 509,285,732,314,511,376,384
  5. Step 5: Solve for x
    x = 509,285,732,314,511,376,384/10,363,623,624
  6. Step 6: Final answer
    x = 49,141,666,157.69

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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.