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Finding the Third Proportional to 459,886,545,250 and 1,006,468,654,892

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Solution

The third proportional to 459,886,545,250 and 1,006,468,654,892 is: 2,202,671,862,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,886,545,250 : 1,006,468,654,892 = 1,006,468,654,892 : x
  2. Step 2: Convert to fraction form
    459,886,545,250/1,006,468,654,892 = 1,006,468,654,892/x
  3. Step 3: Cross multiply
    459,886,545,250x = 1,006,468,654,892 × 1,006,468,654,892
  4. Step 4: Simplify right side
    459,886,545,250x = 1,012,979,153,280,111,751,462,912
  5. Step 5: Solve for x
    x = 1,012,979,153,280,111,751,462,912/459,886,545,250
  6. Step 6: Final answer
    x = 2,202,671,862,751.37

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