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Finding the Third Proportional to 768,500,334 and 1,653,716,484

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Solution

The third proportional to 768,500,334 and 1,653,716,484 is: 3,558,590,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,500,334 : 1,653,716,484 = 1,653,716,484 : x
  2. Step 2: Convert to fraction form
    768,500,334/1,653,716,484 = 1,653,716,484/x
  3. Step 3: Cross multiply
    768,500,334x = 1,653,716,484 × 1,653,716,484
  4. Step 4: Simplify right side
    768,500,334x = 2,734,778,209,453,322,240
  5. Step 5: Solve for x
    x = 2,734,778,209,453,322,240/768,500,334
  6. Step 6: Final answer
    x = 3,558,590,788.40

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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.