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Finding the Third Proportional to 11,214,955 and 16,803,709

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Solution

The third proportional to 11,214,955 and 16,803,709 is: 25,177,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214,955 : 16,803,709 = 16,803,709 : x
  2. Step 2: Convert to fraction form
    11,214,955/16,803,709 = 16,803,709/x
  3. Step 3: Cross multiply
    11,214,955x = 16,803,709 × 16,803,709
  4. Step 4: Simplify right side
    11,214,955x = 282,364,636,156,681
  5. Step 5: Solve for x
    x = 282,364,636,156,681/11,214,955
  6. Step 6: Final answer
    x = 25,177,509.51

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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.