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Finding the Third Proportional to 71,573,191,490 and 106,739,112,963

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Solution

The third proportional to 71,573,191,490 and 106,739,112,963 is: 159,183,040,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,573,191,490 : 106,739,112,963 = 106,739,112,963 : x
  2. Step 2: Convert to fraction form
    71,573,191,490/106,739,112,963 = 106,739,112,963/x
  3. Step 3: Cross multiply
    71,573,191,490x = 106,739,112,963 × 106,739,112,963
  4. Step 4: Simplify right side
    71,573,191,490x = 11,393,238,236,128,075,579,392
  5. Step 5: Solve for x
    x = 11,393,238,236,128,075,579,392/71,573,191,490
  6. Step 6: Final answer
    x = 159,183,040,450.56

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