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Finding the Third Proportional to 7,447,341,292 and 16,202,218,440

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Solution

The third proportional to 7,447,341,292 and 16,202,218,440 is: 35,249,073,741.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,341,292 : 16,202,218,440 = 16,202,218,440 : x
  2. Step 2: Convert to fraction form
    7,447,341,292/16,202,218,440 = 16,202,218,440/x
  3. Step 3: Cross multiply
    7,447,341,292x = 16,202,218,440 × 16,202,218,440
  4. Step 4: Simplify right side
    7,447,341,292x = 262,511,882,377,476,046,848
  5. Step 5: Solve for x
    x = 262,511,882,377,476,046,848/7,447,341,292
  6. Step 6: Final answer
    x = 35,249,073,741.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.