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Finding the Third Proportional to 349,223,529 and 760,448,511

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Solution

The third proportional to 349,223,529 and 760,448,511 is: 1,655,907,720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,223,529 : 760,448,511 = 760,448,511 : x
  2. Step 2: Convert to fraction form
    349,223,529/760,448,511 = 760,448,511/x
  3. Step 3: Cross multiply
    349,223,529x = 760,448,511 × 760,448,511
  4. Step 4: Simplify right side
    349,223,529x = 578,281,937,882,117,120
  5. Step 5: Solve for x
    x = 578,281,937,882,117,120/349,223,529
  6. Step 6: Final answer
    x = 1,655,907,720.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.