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Finding the Third Proportional to 10,560,989,502 and 22,381,095,596

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Solution

The third proportional to 10,560,989,502 and 22,381,095,596 is: 47,430,540,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,989,502 : 22,381,095,596 = 22,381,095,596 : x
  2. Step 2: Convert to fraction form
    10,560,989,502/22,381,095,596 = 22,381,095,596/x
  3. Step 3: Cross multiply
    10,560,989,502x = 22,381,095,596 × 22,381,095,596
  4. Step 4: Simplify right side
    10,560,989,502x = 500,913,440,077,290,602,496
  5. Step 5: Solve for x
    x = 500,913,440,077,290,602,496/10,560,989,502
  6. Step 6: Final answer
    x = 47,430,540,479.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.