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Finding the Third Proportional to 3,194,428 and 6,927,830

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Solution

The third proportional to 3,194,428 and 6,927,830 is: 15,024,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,428 : 6,927,830 = 6,927,830 : x
  2. Step 2: Convert to fraction form
    3,194,428/6,927,830 = 6,927,830/x
  3. Step 3: Cross multiply
    3,194,428x = 6,927,830 × 6,927,830
  4. Step 4: Simplify right side
    3,194,428x = 47,994,828,508,900
  5. Step 5: Solve for x
    x = 47,994,828,508,900/3,194,428
  6. Step 6: Final answer
    x = 15,024,545.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.