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Finding the Third Proportional to 4,600,065,302 and 9,846,330,459

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Solution

The third proportional to 4,600,065,302 and 9,846,330,459 is: 21,075,836,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,065,302 : 9,846,330,459 = 9,846,330,459 : x
  2. Step 2: Convert to fraction form
    4,600,065,302/9,846,330,459 = 9,846,330,459/x
  3. Step 3: Cross multiply
    4,600,065,302x = 9,846,330,459 × 9,846,330,459
  4. Step 4: Simplify right side
    4,600,065,302x = 96,950,223,507,831,144,448
  5. Step 5: Solve for x
    x = 96,950,223,507,831,144,448/4,600,065,302
  6. Step 6: Final answer
    x = 21,075,836,350.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.