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Finding the Third Proportional to 2,877,776 and 6,216,634

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Solution

The third proportional to 2,877,776 and 6,216,634 is: 13,429,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,776 : 6,216,634 = 6,216,634 : x
  2. Step 2: Convert to fraction form
    2,877,776/6,216,634 = 6,216,634/x
  3. Step 3: Cross multiply
    2,877,776x = 6,216,634 × 6,216,634
  4. Step 4: Simplify right side
    2,877,776x = 38,646,538,289,956
  5. Step 5: Solve for x
    x = 38,646,538,289,956/2,877,776
  6. Step 6: Final answer
    x = 13,429,307.32

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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.