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Finding the Third Proportional to 7,653,226 and 11,849,534

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Solution

The third proportional to 7,653,226 and 11,849,534 is: 18,346,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653,226 : 11,849,534 = 11,849,534 : x
  2. Step 2: Convert to fraction form
    7,653,226/11,849,534 = 11,849,534/x
  3. Step 3: Cross multiply
    7,653,226x = 11,849,534 × 11,849,534
  4. Step 4: Simplify right side
    7,653,226x = 140,411,456,017,156
  5. Step 5: Solve for x
    x = 140,411,456,017,156/7,653,226
  6. Step 6: Final answer
    x = 18,346,701.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.