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Finding the Third Proportional to 9,581,323 and 14,368,465

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Solution

The third proportional to 9,581,323 and 14,368,465 is: 21,547,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581,323 : 14,368,465 = 14,368,465 : x
  2. Step 2: Convert to fraction form
    9,581,323/14,368,465 = 14,368,465/x
  3. Step 3: Cross multiply
    9,581,323x = 14,368,465 × 14,368,465
  4. Step 4: Simplify right side
    9,581,323x = 206,452,786,456,225
  5. Step 5: Solve for x
    x = 206,452,786,456,225/9,581,323
  6. Step 6: Final answer
    x = 21,547,419.54

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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.