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Finding the Third Proportional to 3,634,455,868 and 7,905,706,012

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Solution

The third proportional to 3,634,455,868 and 7,905,706,012 is: 17,196,573,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,455,868 : 7,905,706,012 = 7,905,706,012 : x
  2. Step 2: Convert to fraction form
    3,634,455,868/7,905,706,012 = 7,905,706,012/x
  3. Step 3: Cross multiply
    3,634,455,868x = 7,905,706,012 × 7,905,706,012
  4. Step 4: Simplify right side
    3,634,455,868x = 62,500,187,548,172,943,360
  5. Step 5: Solve for x
    x = 62,500,187,548,172,943,360/3,634,455,868
  6. Step 6: Final answer
    x = 17,196,573,522.45

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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.