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Finding the Third Proportional to 33,688,356,354 and 72,994,266,423

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Solution

The third proportional to 33,688,356,354 and 72,994,266,423 is: 158,160,370,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,688,356,354 : 72,994,266,423 = 72,994,266,423 : x
  2. Step 2: Convert to fraction form
    33,688,356,354/72,994,266,423 = 72,994,266,423/x
  3. Step 3: Cross multiply
    33,688,356,354x = 72,994,266,423 × 72,994,266,423
  4. Step 4: Simplify right side
    33,688,356,354x = 5,328,162,930,631,905,378,304
  5. Step 5: Solve for x
    x = 5,328,162,930,631,905,378,304/33,688,356,354
  6. Step 6: Final answer
    x = 158,160,370,741.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.