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Finding the Third Proportional to 426,657,825,501 and 616,446,879,120

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Solution

The third proportional to 426,657,825,501 and 616,446,879,120 is: 890,659,287,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,657,825,501 : 616,446,879,120 = 616,446,879,120 : x
  2. Step 2: Convert to fraction form
    426,657,825,501/616,446,879,120 = 616,446,879,120/x
  3. Step 3: Cross multiply
    426,657,825,501x = 616,446,879,120 × 616,446,879,120
  4. Step 4: Simplify right side
    426,657,825,501x = 380,006,754,776,787,877,625,856
  5. Step 5: Solve for x
    x = 380,006,754,776,787,877,625,856/426,657,825,501
  6. Step 6: Final answer
    x = 890,659,287,288.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.