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Finding the Third Proportional to 3,156,284 and 6,706,232

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Solution

The third proportional to 3,156,284 and 6,706,232 is: 14,248,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,284 : 6,706,232 = 6,706,232 : x
  2. Step 2: Convert to fraction form
    3,156,284/6,706,232 = 6,706,232/x
  3. Step 3: Cross multiply
    3,156,284x = 6,706,232 × 6,706,232
  4. Step 4: Simplify right side
    3,156,284x = 44,973,547,637,824
  5. Step 5: Solve for x
    x = 44,973,547,637,824/3,156,284
  6. Step 6: Final answer
    x = 14,248,891.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.