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Finding the Third Proportional to 1,684,668,929 and 3,603,025,875

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Solution

The third proportional to 1,684,668,929 and 3,603,025,875 is: 7,705,843,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,668,929 : 3,603,025,875 = 3,603,025,875 : x
  2. Step 2: Convert to fraction form
    1,684,668,929/3,603,025,875 = 3,603,025,875/x
  3. Step 3: Cross multiply
    1,684,668,929x = 3,603,025,875 × 3,603,025,875
  4. Step 4: Simplify right side
    1,684,668,929x = 12,981,795,455,919,515,648
  5. Step 5: Solve for x
    x = 12,981,795,455,919,515,648/1,684,668,929
  6. Step 6: Final answer
    x = 7,705,843,701.66

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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.