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Finding the Third Proportional to 283,650,574.50 and 621,109,557

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Solution

The third proportional to 283,650,574.50 and 621,109,557 is: 1,360,043,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,650,574.50 : 621,109,557 = 621,109,557 : x
  2. Step 2: Convert to fraction form
    283,650,574.50/621,109,557 = 621,109,557/x
  3. Step 3: Cross multiply
    283,650,574.50x = 621,109,557 × 621,109,557
  4. Step 4: Simplify right side
    283,650,574.50x = 385,777,081,796,736,256
  5. Step 5: Solve for x
    x = 385,777,081,796,736,256/283,650,574.50
  6. Step 6: Final answer
    x = 1,360,043,364.89

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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.