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Finding the Third Proportional to 7,885,285,551 and 16,966,520,259

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Solution

The third proportional to 7,885,285,551 and 16,966,520,259 is: 36,506,326,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885,285,551 : 16,966,520,259 = 16,966,520,259 : x
  2. Step 2: Convert to fraction form
    7,885,285,551/16,966,520,259 = 16,966,520,259/x
  3. Step 3: Cross multiply
    7,885,285,551x = 16,966,520,259 × 16,966,520,259
  4. Step 4: Simplify right side
    7,885,285,551x = 287,862,809,699,057,434,624
  5. Step 5: Solve for x
    x = 287,862,809,699,057,434,624/7,885,285,551
  6. Step 6: Final answer
    x = 36,506,326,605.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.