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Finding the Third Proportional to 653,613,736 and 1,410,518,348

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Solution

The third proportional to 653,613,736 and 1,410,518,348 is: 3,043,941,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,613,736 : 1,410,518,348 = 1,410,518,348 : x
  2. Step 2: Convert to fraction form
    653,613,736/1,410,518,348 = 1,410,518,348/x
  3. Step 3: Cross multiply
    653,613,736x = 1,410,518,348 × 1,410,518,348
  4. Step 4: Simplify right side
    653,613,736x = 1,989,562,010,044,649,216
  5. Step 5: Solve for x
    x = 1,989,562,010,044,649,216/653,613,736
  6. Step 6: Final answer
    x = 3,043,941,552.12

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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.