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Finding the Third Proportional to 317,552,714 and 681,052,138

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Solution

The third proportional to 317,552,714 and 681,052,138 is: 1,460,645,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,552,714 : 681,052,138 = 681,052,138 : x
  2. Step 2: Convert to fraction form
    317,552,714/681,052,138 = 681,052,138/x
  3. Step 3: Cross multiply
    317,552,714x = 681,052,138 × 681,052,138
  4. Step 4: Simplify right side
    317,552,714x = 463,832,014,674,371,072
  5. Step 5: Solve for x
    x = 463,832,014,674,371,072/317,552,714
  6. Step 6: Final answer
    x = 1,460,645,726.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.