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Finding the Third Proportional to 329,521,936 and 710,075,552

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Solution

The third proportional to 329,521,936 and 710,075,552 is: 1,530,117,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,521,936 : 710,075,552 = 710,075,552 : x
  2. Step 2: Convert to fraction form
    329,521,936/710,075,552 = 710,075,552/x
  3. Step 3: Cross multiply
    329,521,936x = 710,075,552 × 710,075,552
  4. Step 4: Simplify right side
    329,521,936x = 504,207,289,548,104,704
  5. Step 5: Solve for x
    x = 504,207,289,548,104,704/329,521,936
  6. Step 6: Final answer
    x = 1,530,117,526.22

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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.