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Finding the Third Proportional to 29,595,596,494 and 42,760,526,108

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Solution

The third proportional to 29,595,596,494 and 42,760,526,108 is: 61,781,575,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,595,596,494 : 42,760,526,108 = 42,760,526,108 : x
  2. Step 2: Convert to fraction form
    29,595,596,494/42,760,526,108 = 42,760,526,108/x
  3. Step 3: Cross multiply
    29,595,596,494x = 42,760,526,108 × 42,760,526,108
  4. Step 4: Simplify right side
    29,595,596,494x = 1,828,462,593,032,949,596,160
  5. Step 5: Solve for x
    x = 1,828,462,593,032,949,596,160/29,595,596,494
  6. Step 6: Final answer
    x = 61,781,575,965.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.