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Finding the Third Proportional to 462,595,310,404 and 1,014,553,222,120

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Solution

The third proportional to 462,595,310,404 and 1,014,553,222,120 is: 2,225,094,412,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,595,310,404 : 1,014,553,222,120 = 1,014,553,222,120 : x
  2. Step 2: Convert to fraction form
    462,595,310,404/1,014,553,222,120 = 1,014,553,222,120/x
  3. Step 3: Cross multiply
    462,595,310,404x = 1,014,553,222,120 × 1,014,553,222,120
  4. Step 4: Simplify right side
    462,595,310,404x = 1,029,318,240,514,074,006,781,952
  5. Step 5: Solve for x
    x = 1,029,318,240,514,074,006,781,952/462,595,310,404
  6. Step 6: Final answer
    x = 2,225,094,412,684.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.