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Finding the Third Proportional to 71,573,191,488 and 106,739,112,960

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Solution

The third proportional to 71,573,191,488 and 106,739,112,960 is: 159,183,040,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,573,191,488 : 106,739,112,960 = 106,739,112,960 : x
  2. Step 2: Convert to fraction form
    71,573,191,488/106,739,112,960 = 106,739,112,960/x
  3. Step 3: Cross multiply
    71,573,191,488x = 106,739,112,960 × 106,739,112,960
  4. Step 4: Simplify right side
    71,573,191,488x = 11,393,238,235,487,638,913,024
  5. Step 5: Solve for x
    x = 11,393,238,235,487,638,913,024/71,573,191,488
  6. Step 6: Final answer
    x = 159,183,040,446.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.