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Finding the Third Proportional to 960,388,389 and 2,066,378,490

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Solution

The third proportional to 960,388,389 and 2,066,378,490 is: 4,446,034,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,388,389 : 2,066,378,490 = 2,066,378,490 : x
  2. Step 2: Convert to fraction form
    960,388,389/2,066,378,490 = 2,066,378,490/x
  3. Step 3: Cross multiply
    960,388,389x = 2,066,378,490 × 2,066,378,490
  4. Step 4: Simplify right side
    960,388,389x = 4,269,920,063,934,680,064
  5. Step 5: Solve for x
    x = 4,269,920,063,934,680,064/960,388,389
  6. Step 6: Final answer
    x = 4,446,034,659.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.