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Finding the Third Proportional to 6,009,547 and 12,930,319

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Solution

The third proportional to 6,009,547 and 12,930,319 is: 27,821,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,547 : 12,930,319 = 12,930,319 : x
  2. Step 2: Convert to fraction form
    6,009,547/12,930,319 = 12,930,319/x
  3. Step 3: Cross multiply
    6,009,547x = 12,930,319 × 12,930,319
  4. Step 4: Simplify right side
    6,009,547x = 167,193,149,441,761
  5. Step 5: Solve for x
    x = 167,193,149,441,761/6,009,547
  6. Step 6: Final answer
    x = 27,821,256.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.