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Finding the Third Proportional to 9,829,666,590 and 21,662,932,332

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Solution

The third proportional to 9,829,666,590 and 21,662,932,332 is: 47,741,460,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,666,590 : 21,662,932,332 = 21,662,932,332 : x
  2. Step 2: Convert to fraction form
    9,829,666,590/21,662,932,332 = 21,662,932,332/x
  3. Step 3: Cross multiply
    9,829,666,590x = 21,662,932,332 × 21,662,932,332
  4. Step 4: Simplify right side
    9,829,666,590x = 469,282,637,220,810,981,376
  5. Step 5: Solve for x
    x = 469,282,637,220,810,981,376/9,829,666,590
  6. Step 6: Final answer
    x = 47,741,460,295.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.