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Finding the Third Proportional to 10,010,989,637 and 13,633,259,127

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Solution

The third proportional to 10,010,989,637 and 13,633,259,127 is: 18,566,171,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010,989,637 : 13,633,259,127 = 13,633,259,127 : x
  2. Step 2: Convert to fraction form
    10,010,989,637/13,633,259,127 = 13,633,259,127/x
  3. Step 3: Cross multiply
    10,010,989,637x = 13,633,259,127 × 13,633,259,127
  4. Step 4: Simplify right side
    10,010,989,637x = 185,865,754,423,928,815,616
  5. Step 5: Solve for x
    x = 185,865,754,423,928,815,616/10,010,989,637
  6. Step 6: Final answer
    x = 18,566,171,893.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.