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Finding the Third Proportional to 6,371,038 and 13,756,354

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Solution

The third proportional to 6,371,038 and 13,756,354 is: 29,702,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,038 : 13,756,354 = 13,756,354 : x
  2. Step 2: Convert to fraction form
    6,371,038/13,756,354 = 13,756,354/x
  3. Step 3: Cross multiply
    6,371,038x = 13,756,354 × 13,756,354
  4. Step 4: Simplify right side
    6,371,038x = 189,237,275,373,316
  5. Step 5: Solve for x
    x = 189,237,275,373,316/6,371,038
  6. Step 6: Final answer
    x = 29,702,738.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.