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Finding the Third Proportional to 23,429,526,381 and 35,692,462,663

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Solution

The third proportional to 23,429,526,381 and 35,692,462,663 is: 54,373,779,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429,526,381 : 35,692,462,663 = 35,692,462,663 : x
  2. Step 2: Convert to fraction form
    23,429,526,381/35,692,462,663 = 35,692,462,663/x
  3. Step 3: Cross multiply
    23,429,526,381x = 35,692,462,663 × 35,692,462,663
  4. Step 4: Simplify right side
    23,429,526,381x = 1,273,951,890,949,648,941,056
  5. Step 5: Solve for x
    x = 1,273,951,890,949,648,941,056/23,429,526,381
  6. Step 6: Final answer
    x = 54,373,779,061.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.