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Finding the Third Proportional to 294,204,749,516 and 420,713,292,826

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Solution

The third proportional to 294,204,749,516 and 420,713,292,826 is: 601,620,725,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,204,749,516 : 420,713,292,826 = 420,713,292,826 : x
  2. Step 2: Convert to fraction form
    294,204,749,516/420,713,292,826 = 420,713,292,826/x
  3. Step 3: Cross multiply
    294,204,749,516x = 420,713,292,826 × 420,713,292,826
  4. Step 4: Simplify right side
    294,204,749,516x = 176,999,674,760,495,634,579,456
  5. Step 5: Solve for x
    x = 176,999,674,760,495,634,579,456/294,204,749,516
  6. Step 6: Final answer
    x = 601,620,725,197.95

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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.