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Finding the Third Proportional to 3,633,075,498 and 7,953,953,316

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Solution

The third proportional to 3,633,075,498 and 7,953,953,316 is: 17,413,723,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633,075,498 : 7,953,953,316 = 7,953,953,316 : x
  2. Step 2: Convert to fraction form
    3,633,075,498/7,953,953,316 = 7,953,953,316/x
  3. Step 3: Cross multiply
    3,633,075,498x = 7,953,953,316 × 7,953,953,316
  4. Step 4: Simplify right side
    3,633,075,498x = 63,265,373,353,107,398,656
  5. Step 5: Solve for x
    x = 63,265,373,353,107,398,656/3,633,075,498
  6. Step 6: Final answer
    x = 17,413,723,823.78

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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.