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Finding the Third Proportional to 48,342,718,101 and 104,032,078,773

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Solution

The third proportional to 48,342,718,101 and 104,032,078,773 is: 223,873,911,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,342,718,101 : 104,032,078,773 = 104,032,078,773 : x
  2. Step 2: Convert to fraction form
    48,342,718,101/104,032,078,773 = 104,032,078,773/x
  3. Step 3: Cross multiply
    48,342,718,101x = 104,032,078,773 × 104,032,078,773
  4. Step 4: Simplify right side
    48,342,718,101x = 10,822,673,413,831,676,395,520
  5. Step 5: Solve for x
    x = 10,822,673,413,831,676,395,520/48,342,718,101
  6. Step 6: Final answer
    x = 223,873,911,914.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.