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Finding the Third Proportional to 7,714,690 and 10,507,768

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Solution

The third proportional to 7,714,690 and 10,507,768 is: 14,312,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,690 : 10,507,768 = 10,507,768 : x
  2. Step 2: Convert to fraction form
    7,714,690/10,507,768 = 10,507,768/x
  3. Step 3: Cross multiply
    7,714,690x = 10,507,768 × 10,507,768
  4. Step 4: Simplify right side
    7,714,690x = 110,413,188,341,824
  5. Step 5: Solve for x
    x = 110,413,188,341,824/7,714,690
  6. Step 6: Final answer
    x = 14,312,070.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.