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Finding the Third Proportional to 1,603,436,972 and 3,353,480,216

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Solution

The third proportional to 1,603,436,972 and 3,353,480,216 is: 7,013,577,555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,436,972 : 3,353,480,216 = 3,353,480,216 : x
  2. Step 2: Convert to fraction form
    1,603,436,972/3,353,480,216 = 3,353,480,216/x
  3. Step 3: Cross multiply
    1,603,436,972x = 3,353,480,216 × 3,353,480,216
  4. Step 4: Simplify right side
    1,603,436,972x = 11,245,829,559,103,406,080
  5. Step 5: Solve for x
    x = 11,245,829,559,103,406,080/1,603,436,972
  6. Step 6: Final answer
    x = 7,013,577,555.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.