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Finding the Third Proportional to 6,787,284 and 14,637,276

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Solution

The third proportional to 6,787,284 and 14,637,276 is: 31,566,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,284 : 14,637,276 = 14,637,276 : x
  2. Step 2: Convert to fraction form
    6,787,284/14,637,276 = 14,637,276/x
  3. Step 3: Cross multiply
    6,787,284x = 14,637,276 × 14,637,276
  4. Step 4: Simplify right side
    6,787,284x = 214,249,848,700,176
  5. Step 5: Solve for x
    x = 214,249,848,700,176/6,787,284
  6. Step 6: Final answer
    x = 31,566,359.78

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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.