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Finding the Third Proportional to 3,932,742,175 and 8,426,436,317

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Solution

The third proportional to 3,932,742,175 and 8,426,436,317 is: 18,054,788,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,742,175 : 8,426,436,317 = 8,426,436,317 : x
  2. Step 2: Convert to fraction form
    3,932,742,175/8,426,436,317 = 8,426,436,317/x
  3. Step 3: Cross multiply
    3,932,742,175x = 8,426,436,317 × 8,426,436,317
  4. Step 4: Simplify right side
    3,932,742,175x = 71,004,829,004,456,525,824
  5. Step 5: Solve for x
    x = 71,004,829,004,456,525,824/3,932,742,175
  6. Step 6: Final answer
    x = 18,054,788,705.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.