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Finding the Third Proportional to 4,729,054 and 7,337,547

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Solution

The third proportional to 4,729,054 and 7,337,547 is: 11,384,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,054 : 7,337,547 = 7,337,547 : x
  2. Step 2: Convert to fraction form
    4,729,054/7,337,547 = 7,337,547/x
  3. Step 3: Cross multiply
    4,729,054x = 7,337,547 × 7,337,547
  4. Step 4: Simplify right side
    4,729,054x = 53,839,595,977,209
  5. Step 5: Solve for x
    x = 53,839,595,977,209/4,729,054
  6. Step 6: Final answer
    x = 11,384,855.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.