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Finding the Third Proportional to 8,269,215,846 and 12,710,366,730

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Solution

The third proportional to 8,269,215,846 and 12,710,366,730 is: 19,536,728,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269,215,846 : 12,710,366,730 = 12,710,366,730 : x
  2. Step 2: Convert to fraction form
    8,269,215,846/12,710,366,730 = 12,710,366,730/x
  3. Step 3: Cross multiply
    8,269,215,846x = 12,710,366,730 × 12,710,366,730
  4. Step 4: Simplify right side
    8,269,215,846x = 161,553,422,411,090,886,656
  5. Step 5: Solve for x
    x = 161,553,422,411,090,886,656/8,269,215,846
  6. Step 6: Final answer
    x = 19,536,728,200.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.