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Finding the Third Proportional to 9,768,672 and 14,360,316

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Solution

The third proportional to 9,768,672 and 14,360,316 is: 21,110,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,672 : 14,360,316 = 14,360,316 : x
  2. Step 2: Convert to fraction form
    9,768,672/14,360,316 = 14,360,316/x
  3. Step 3: Cross multiply
    9,768,672x = 14,360,316 × 14,360,316
  4. Step 4: Simplify right side
    9,768,672x = 206,218,675,619,856
  5. Step 5: Solve for x
    x = 206,218,675,619,856/9,768,672
  6. Step 6: Final answer
    x = 21,110,205.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.