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Finding the Third Proportional to 7,849,211,689 and 12,064,801,125

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Solution

The third proportional to 7,849,211,689 and 12,064,801,125 is: 18,544,464,330.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849,211,689 : 12,064,801,125 = 12,064,801,125 : x
  2. Step 2: Convert to fraction form
    7,849,211,689/12,064,801,125 = 12,064,801,125/x
  3. Step 3: Cross multiply
    7,849,211,689x = 12,064,801,125 × 12,064,801,125
  4. Step 4: Simplify right side
    7,849,211,689x = 145,559,426,185,801,269,248
  5. Step 5: Solve for x
    x = 145,559,426,185,801,269,248/7,849,211,689
  6. Step 6: Final answer
    x = 18,544,464,330.07

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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.