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Finding the Third Proportional to 1,362,921,302 and 2,964,640,459

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Solution

The third proportional to 1,362,921,302 and 2,964,640,459 is: 6,448,716,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362,921,302 : 2,964,640,459 = 2,964,640,459 : x
  2. Step 2: Convert to fraction form
    1,362,921,302/2,964,640,459 = 2,964,640,459/x
  3. Step 3: Cross multiply
    1,362,921,302x = 2,964,640,459 × 2,964,640,459
  4. Step 4: Simplify right side
    1,362,921,302x = 8,789,093,051,139,730,432
  5. Step 5: Solve for x
    x = 8,789,093,051,139,730,432/1,362,921,302
  6. Step 6: Final answer
    x = 6,448,716,472.65

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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.