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Finding the Third Proportional to 5,658,698,984,544 and 12,308,861,855,990

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Solution

The third proportional to 5,658,698,984,544 and 12,308,861,855,990 is: 26,774,366,440,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658,698,984,544 : 12,308,861,855,990 = 12,308,861,855,990 : x
  2. Step 2: Convert to fraction form
    5,658,698,984,544/12,308,861,855,990 = 12,308,861,855,990/x
  3. Step 3: Cross multiply
    5,658,698,984,544x = 12,308,861,855,990 × 12,308,861,855,990
  4. Step 4: Simplify right side
    5,658,698,984,544x = 151,508,080,189,845,594,464,845,824
  5. Step 5: Solve for x
    x = 151,508,080,189,845,594,464,845,824/5,658,698,984,544
  6. Step 6: Final answer
    x = 26,774,366,440,708.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.