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Finding the Third Proportional to 585,097,350 and 1,218,621,684

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Solution

The third proportional to 585,097,350 and 1,218,621,684 is: 2,538,105,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,097,350 : 1,218,621,684 = 1,218,621,684 : x
  2. Step 2: Convert to fraction form
    585,097,350/1,218,621,684 = 1,218,621,684/x
  3. Step 3: Cross multiply
    585,097,350x = 1,218,621,684 × 1,218,621,684
  4. Step 4: Simplify right side
    585,097,350x = 1,485,038,808,714,995,968
  5. Step 5: Solve for x
    x = 1,485,038,808,714,995,968/585,097,350
  6. Step 6: Final answer
    x = 2,538,105,511.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.