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Finding the Third Proportional to 4,730,314 and 10,116,538

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Solution

The third proportional to 4,730,314 and 10,116,538 is: 21,635,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,314 : 10,116,538 = 10,116,538 : x
  2. Step 2: Convert to fraction form
    4,730,314/10,116,538 = 10,116,538/x
  3. Step 3: Cross multiply
    4,730,314x = 10,116,538 × 10,116,538
  4. Step 4: Simplify right side
    4,730,314x = 102,344,341,105,444
  5. Step 5: Solve for x
    x = 102,344,341,105,444/4,730,314
  6. Step 6: Final answer
    x = 21,635,845.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.