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Finding the Third Proportional to 13,718,378 and 29,258,716

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Solution

The third proportional to 13,718,378 and 29,258,716 is: 62,403,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718,378 : 29,258,716 = 29,258,716 : x
  2. Step 2: Convert to fraction form
    13,718,378/29,258,716 = 29,258,716/x
  3. Step 3: Cross multiply
    13,718,378x = 29,258,716 × 29,258,716
  4. Step 4: Simplify right side
    13,718,378x = 856,072,461,968,656
  5. Step 5: Solve for x
    x = 856,072,461,968,656/13,718,378
  6. Step 6: Final answer
    x = 62,403,329.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.