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Finding the Third Proportional to 10,329,323,605 and 22,094,718,891

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Solution

The third proportional to 10,329,323,605 and 22,094,718,891 is: 47,261,236,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329,323,605 : 22,094,718,891 = 22,094,718,891 : x
  2. Step 2: Convert to fraction form
    10,329,323,605/22,094,718,891 = 22,094,718,891/x
  3. Step 3: Cross multiply
    10,329,323,605x = 22,094,718,891 × 22,094,718,891
  4. Step 4: Simplify right side
    10,329,323,605x = 488,176,602,872,312,299,520
  5. Step 5: Solve for x
    x = 488,176,602,872,312,299,520/10,329,323,605
  6. Step 6: Final answer
    x = 47,261,236,218.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.