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Finding the Third Proportional to 7,849,211,678 and 12,064,801,107

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Solution

The third proportional to 7,849,211,678 and 12,064,801,107 is: 18,544,464,300.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,211,678 : 12,064,801,107 = 12,064,801,107 : x
  2. Step 2: Convert to fraction form
    7,849,211,678/12,064,801,107 = 12,064,801,107/x
  3. Step 3: Cross multiply
    7,849,211,678x = 12,064,801,107 × 12,064,801,107
  4. Step 4: Simplify right side
    7,849,211,678x = 145,559,425,751,468,425,216
  5. Step 5: Solve for x
    x = 145,559,425,751,468,425,216/7,849,211,678
  6. Step 6: Final answer
    x = 18,544,464,300.72

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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.