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Finding the Third Proportional to 7,849,211,680 and 12,064,801,110

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Solution

The third proportional to 7,849,211,680 and 12,064,801,110 is: 18,544,464,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,211,680 : 12,064,801,110 = 12,064,801,110 : x
  2. Step 2: Convert to fraction form
    7,849,211,680/12,064,801,110 = 12,064,801,110/x
  3. Step 3: Cross multiply
    7,849,211,680x = 12,064,801,110 × 12,064,801,110
  4. Step 4: Simplify right side
    7,849,211,680x = 145,559,425,823,857,229,824
  5. Step 5: Solve for x
    x = 145,559,425,823,857,229,824/7,849,211,680
  6. Step 6: Final answer
    x = 18,544,464,305.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.