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Finding the Third Proportional to 345,621,816 and 755,803,224

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Solution

The third proportional to 345,621,816 and 755,803,224 is: 1,652,784,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,621,816 : 755,803,224 = 755,803,224 : x
  2. Step 2: Convert to fraction form
    345,621,816/755,803,224 = 755,803,224/x
  3. Step 3: Cross multiply
    345,621,816x = 755,803,224 × 755,803,224
  4. Step 4: Simplify right side
    345,621,816x = 571,238,513,408,794,176
  5. Step 5: Solve for x
    x = 571,238,513,408,794,176/345,621,816
  6. Step 6: Final answer
    x = 1,652,784,884.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.