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Finding the Third Proportional to 538,156,864 and 842,362,475

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Solution

The third proportional to 538,156,864 and 842,362,475 is: 1,318,527,341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,156,864 : 842,362,475 = 842,362,475 : x
  2. Step 2: Convert to fraction form
    538,156,864/842,362,475 = 842,362,475/x
  3. Step 3: Cross multiply
    538,156,864x = 842,362,475 × 842,362,475
  4. Step 4: Simplify right side
    538,156,864x = 709,574,539,288,125,568
  5. Step 5: Solve for x
    x = 709,574,539,288,125,568/538,156,864
  6. Step 6: Final answer
    x = 1,318,527,341.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.