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Finding the Third Proportional to 315,697,740,582 and 648,131,538,078

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Solution

The third proportional to 315,697,740,582 and 648,131,538,078 is: 1,330,622,417,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,697,740,582 : 648,131,538,078 = 648,131,538,078 : x
  2. Step 2: Convert to fraction form
    315,697,740,582/648,131,538,078 = 648,131,538,078/x
  3. Step 3: Cross multiply
    315,697,740,582x = 648,131,538,078 × 648,131,538,078
  4. Step 4: Simplify right side
    315,697,740,582x = 420,074,490,651,353,980,862,464
  5. Step 5: Solve for x
    x = 420,074,490,651,353,980,862,464/315,697,740,582
  6. Step 6: Final answer
    x = 1,330,622,417,116.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.