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Finding the Third Proportional to 15,746,429 and 23,619,648

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Solution

The third proportional to 15,746,429 and 23,619,648 is: 35,429,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746,429 : 23,619,648 = 23,619,648 : x
  2. Step 2: Convert to fraction form
    15,746,429/23,619,648 = 23,619,648/x
  3. Step 3: Cross multiply
    15,746,429x = 23,619,648 × 23,619,648
  4. Step 4: Simplify right side
    15,746,429x = 557,887,771,643,904
  5. Step 5: Solve for x
    x = 557,887,771,643,904/15,746,429
  6. Step 6: Final answer
    x = 35,429,478.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.