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Finding the Third Proportional to 8,009,312 and 16,586,432

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Solution

The third proportional to 8,009,312 and 16,586,432 is: 34,348,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009,312 : 16,586,432 = 16,586,432 : x
  2. Step 2: Convert to fraction form
    8,009,312/16,586,432 = 16,586,432/x
  3. Step 3: Cross multiply
    8,009,312x = 16,586,432 × 16,586,432
  4. Step 4: Simplify right side
    8,009,312x = 275,109,726,490,624
  5. Step 5: Solve for x
    x = 275,109,726,490,624/8,009,312
  6. Step 6: Final answer
    x = 34,348,733.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.