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Finding the Third Proportional to 3,633,075,496 and 7,953,953,312

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Solution

The third proportional to 3,633,075,496 and 7,953,953,312 is: 17,413,723,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633,075,496 : 7,953,953,312 = 7,953,953,312 : x
  2. Step 2: Convert to fraction form
    3,633,075,496/7,953,953,312 = 7,953,953,312/x
  3. Step 3: Cross multiply
    3,633,075,496x = 7,953,953,312 × 7,953,953,312
  4. Step 4: Simplify right side
    3,633,075,496x = 63,265,373,289,475,768,320
  5. Step 5: Solve for x
    x = 63,265,373,289,475,768,320/3,633,075,496
  6. Step 6: Final answer
    x = 17,413,723,815.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.