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Finding the Third Proportional to 4,730,057 and 7,307,862

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Solution

The third proportional to 4,730,057 and 7,307,862 is: 11,290,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730,057 : 7,307,862 = 7,307,862 : x
  2. Step 2: Convert to fraction form
    4,730,057/7,307,862 = 7,307,862/x
  3. Step 3: Cross multiply
    4,730,057x = 7,307,862 × 7,307,862
  4. Step 4: Simplify right side
    4,730,057x = 53,404,847,011,044
  5. Step 5: Solve for x
    x = 53,404,847,011,044/4,730,057
  6. Step 6: Final answer
    x = 11,290,529.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.