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Finding the Third Proportional to 283,676,880 and 621,161,520

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Solution

The third proportional to 283,676,880 and 621,161,520 is: 1,360,144,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,676,880 : 621,161,520 = 621,161,520 : x
  2. Step 2: Convert to fraction form
    283,676,880/621,161,520 = 621,161,520/x
  3. Step 3: Cross multiply
    283,676,880x = 621,161,520 × 621,161,520
  4. Step 4: Simplify right side
    283,676,880x = 385,841,633,928,710,400
  5. Step 5: Solve for x
    x = 385,841,633,928,710,400/283,676,880
  6. Step 6: Final answer
    x = 1,360,144,802.53

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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.