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Finding the Third Proportional to 294,204,749,511 and 420,713,292,820.50

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Solution

The third proportional to 294,204,749,511 and 420,713,292,820.50 is: 601,620,725,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204,749,511 : 420,713,292,820.50 = 420,713,292,820.50 : x
  2. Step 2: Convert to fraction form
    294,204,749,511/420,713,292,820.50 = 420,713,292,820.50/x
  3. Step 3: Cross multiply
    294,204,749,511x = 420,713,292,820.50 × 420,713,292,820.50
  4. Step 4: Simplify right side
    294,204,749,511x = 176,999,674,755,867,773,763,584
  5. Step 5: Solve for x
    x = 176,999,674,755,867,773,763,584/294,204,749,511
  6. Step 6: Final answer
    x = 601,620,725,192.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.