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Finding the Third Proportional to 653,613,732 and 1,410,518,340

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Solution

The third proportional to 653,613,732 and 1,410,518,340 is: 3,043,941,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,613,732 : 1,410,518,340 = 1,410,518,340 : x
  2. Step 2: Convert to fraction form
    653,613,732/1,410,518,340 = 1,410,518,340/x
  3. Step 3: Cross multiply
    653,613,732x = 1,410,518,340 × 1,410,518,340
  4. Step 4: Simplify right side
    653,613,732x = 1,989,561,987,476,355,584
  5. Step 5: Solve for x
    x = 1,989,561,987,476,355,584/653,613,732
  6. Step 6: Final answer
    x = 3,043,941,536.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.