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Finding the Third Proportional to 6,130,646 and 14,451,643

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Solution

The third proportional to 6,130,646 and 14,451,643 is: 34,066,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130,646 : 14,451,643 = 14,451,643 : x
  2. Step 2: Convert to fraction form
    6,130,646/14,451,643 = 14,451,643/x
  3. Step 3: Cross multiply
    6,130,646x = 14,451,643 × 14,451,643
  4. Step 4: Simplify right side
    6,130,646x = 208,849,985,399,449
  5. Step 5: Solve for x
    x = 208,849,985,399,449/6,130,646
  6. Step 6: Final answer
    x = 34,066,554.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.