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Finding the Third Proportional to 9,778,619,574 and 21,181,749,714

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Solution

The third proportional to 9,778,619,574 and 21,181,749,714 is: 45,882,398,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,619,574 : 21,181,749,714 = 21,181,749,714 : x
  2. Step 2: Convert to fraction form
    9,778,619,574/21,181,749,714 = 21,181,749,714/x
  3. Step 3: Cross multiply
    9,778,619,574x = 21,181,749,714 × 21,181,749,714
  4. Step 4: Simplify right side
    9,778,619,574x = 448,666,520,946,539,102,208
  5. Step 5: Solve for x
    x = 448,666,520,946,539,102,208/9,778,619,574
  6. Step 6: Final answer
    x = 45,882,398,589.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.