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Finding the Third Proportional to 13,462,859 and 29,362,486

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Solution

The third proportional to 13,462,859 and 29,362,486 is: 64,039,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462,859 : 29,362,486 = 29,362,486 : x
  2. Step 2: Convert to fraction form
    13,462,859/29,362,486 = 29,362,486/x
  3. Step 3: Cross multiply
    13,462,859x = 29,362,486 × 29,362,486
  4. Step 4: Simplify right side
    13,462,859x = 862,155,584,100,196
  5. Step 5: Solve for x
    x = 862,155,584,100,196/13,462,859
  6. Step 6: Final answer
    x = 64,039,561.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.