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Finding the Third Proportional to 6,473,490 and 13,956,648

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Solution

The third proportional to 6,473,490 and 13,956,648 is: 30,090,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,490 : 13,956,648 = 13,956,648 : x
  2. Step 2: Convert to fraction form
    6,473,490/13,956,648 = 13,956,648/x
  3. Step 3: Cross multiply
    6,473,490x = 13,956,648 × 13,956,648
  4. Step 4: Simplify right side
    6,473,490x = 194,788,023,395,904
  5. Step 5: Solve for x
    x = 194,788,023,395,904/6,473,490
  6. Step 6: Final answer
    x = 30,090,109.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.