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Finding the Third Proportional to 10,363,623,680 and 22,567,360,000

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Solution

The third proportional to 10,363,623,680 and 22,567,360,000 is: 49,141,666,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,623,680 : 22,567,360,000 = 22,567,360,000 : x
  2. Step 2: Convert to fraction form
    10,363,623,680/22,567,360,000 = 22,567,360,000/x
  3. Step 3: Cross multiply
    10,363,623,680x = 22,567,360,000 × 22,567,360,000
  4. Step 4: Simplify right side
    10,363,623,680x = 509,285,737,369,600,000,000
  5. Step 5: Solve for x
    x = 509,285,737,369,600,000,000/10,363,623,680
  6. Step 6: Final answer
    x = 49,141,666,379.92

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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.