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Finding the Third Proportional to 1,004,699,094,552 and 1,544,294,541,348

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Solution

The third proportional to 1,004,699,094,552 and 1,544,294,541,348 is: 2,373,691,429,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,699,094,552 : 1,544,294,541,348 = 1,544,294,541,348 : x
  2. Step 2: Convert to fraction form
    1,004,699,094,552/1,544,294,541,348 = 1,544,294,541,348/x
  3. Step 3: Cross multiply
    1,004,699,094,552x = 1,544,294,541,348 × 1,544,294,541,348
  4. Step 4: Simplify right side
    1,004,699,094,552x = 2,384,845,630,437,229,691,142,144
  5. Step 5: Solve for x
    x = 2,384,845,630,437,229,691,142,144/1,004,699,094,552
  6. Step 6: Final answer
    x = 2,373,691,429,970.53

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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.