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Finding the Third Proportional to 6,306,704 and 13,834,264

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Solution

The third proportional to 6,306,704 and 13,834,264 is: 30,346,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,704 : 13,834,264 = 13,834,264 : x
  2. Step 2: Convert to fraction form
    6,306,704/13,834,264 = 13,834,264/x
  3. Step 3: Cross multiply
    6,306,704x = 13,834,264 × 13,834,264
  4. Step 4: Simplify right side
    6,306,704x = 191,386,860,421,696
  5. Step 5: Solve for x
    x = 191,386,860,421,696/6,306,704
  6. Step 6: Final answer
    x = 30,346,574.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.