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Finding the Third Proportional to 621,105,084 and 1,329,459,075

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Solution

The third proportional to 621,105,084 and 1,329,459,075 is: 2,845,672,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,105,084 : 1,329,459,075 = 1,329,459,075 : x
  2. Step 2: Convert to fraction form
    621,105,084/1,329,459,075 = 1,329,459,075/x
  3. Step 3: Cross multiply
    621,105,084x = 1,329,459,075 × 1,329,459,075
  4. Step 4: Simplify right side
    621,105,084x = 1,767,461,432,099,855,616
  5. Step 5: Solve for x
    x = 1,767,461,432,099,855,616/621,105,084
  6. Step 6: Final answer
    x = 2,845,672,137.66

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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.