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Finding the Third Proportional to 10,363,858,664 and 22,567,829,968

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Solution

The third proportional to 10,363,858,664 and 22,567,829,968 is: 49,142,598,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,858,664 : 22,567,829,968 = 22,567,829,968 : x
  2. Step 2: Convert to fraction form
    10,363,858,664/22,567,829,968 = 22,567,829,968/x
  3. Step 3: Cross multiply
    10,363,858,664x = 22,567,829,968 × 22,567,829,968
  4. Step 4: Simplify right side
    10,363,858,664x = 509,306,949,464,558,862,336
  5. Step 5: Solve for x
    x = 509,306,949,464,558,862,336/10,363,858,664
  6. Step 6: Final answer
    x = 49,142,598,908.04

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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.