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Finding the Third Proportional to 345,790,031.63 and 531,175,784.63

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Solution

The third proportional to 345,790,031.63 and 531,175,784.63 is: 815,950,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,790,031.63 : 531,175,784.63 = 531,175,784.63 : x
  2. Step 2: Convert to fraction form
    345,790,031.63/531,175,784.63 = 531,175,784.63/x
  3. Step 3: Cross multiply
    345,790,031.63x = 531,175,784.63 × 531,175,784.63
  4. Step 4: Simplify right side
    345,790,031.63x = 282,147,714,171,984,384
  5. Step 5: Solve for x
    x = 282,147,714,171,984,384/345,790,031.63
  6. Step 6: Final answer
    x = 815,950,977.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.