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Finding the Third Proportional to 7,509,862 and 15,417,841

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Solution

The third proportional to 7,509,862 and 15,417,841 is: 31,653,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,862 : 15,417,841 = 15,417,841 : x
  2. Step 2: Convert to fraction form
    7,509,862/15,417,841 = 15,417,841/x
  3. Step 3: Cross multiply
    7,509,862x = 15,417,841 × 15,417,841
  4. Step 4: Simplify right side
    7,509,862x = 237,709,821,101,281
  5. Step 5: Solve for x
    x = 237,709,821,101,281/7,509,862
  6. Step 6: Final answer
    x = 31,653,021.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.