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Finding the Third Proportional to 9,956,823 and 15,377,419.50

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Solution

The third proportional to 9,956,823 and 15,377,419.50 is: 23,749,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956,823 : 15,377,419.50 = 15,377,419.50 : x
  2. Step 2: Convert to fraction form
    9,956,823/15,377,419.50 = 15,377,419.50/x
  3. Step 3: Cross multiply
    9,956,823x = 15,377,419.50 × 15,377,419.50
  4. Step 4: Simplify right side
    9,956,823x = 236,465,030,478,980.25
  5. Step 5: Solve for x
    x = 236,465,030,478,980.25/9,956,823
  6. Step 6: Final answer
    x = 23,749,044.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.