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Finding the Third Proportional to 22,201,235,851 and 47,940,963,664

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Solution

The third proportional to 22,201,235,851 and 47,940,963,664 is: 103,522,885,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201,235,851 : 47,940,963,664 = 47,940,963,664 : x
  2. Step 2: Convert to fraction form
    22,201,235,851/47,940,963,664 = 47,940,963,664/x
  3. Step 3: Cross multiply
    22,201,235,851x = 47,940,963,664 × 47,940,963,664
  4. Step 4: Simplify right side
    22,201,235,851x = 2,298,335,997,032,968,224,768
  5. Step 5: Solve for x
    x = 2,298,335,997,032,968,224,768/22,201,235,851
  6. Step 6: Final answer
    x = 103,522,885,503.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.