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Finding the Third Proportional to 6,547,502 and 14,228,356

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Solution

The third proportional to 6,547,502 and 14,228,356 is: 30,919,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547,502 : 14,228,356 = 14,228,356 : x
  2. Step 2: Convert to fraction form
    6,547,502/14,228,356 = 14,228,356/x
  3. Step 3: Cross multiply
    6,547,502x = 14,228,356 × 14,228,356
  4. Step 4: Simplify right side
    6,547,502x = 202,446,114,462,736
  5. Step 5: Solve for x
    x = 202,446,114,462,736/6,547,502
  6. Step 6: Final answer
    x = 30,919,595.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.