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Finding the Third Proportional to 4,676,470,292 and 10,176,187,864

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Solution

The third proportional to 4,676,470,292 and 10,176,187,864 is: 22,143,794,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,470,292 : 10,176,187,864 = 10,176,187,864 : x
  2. Step 2: Convert to fraction form
    4,676,470,292/10,176,187,864 = 10,176,187,864/x
  3. Step 3: Cross multiply
    4,676,470,292x = 10,176,187,864 × 10,176,187,864
  4. Step 4: Simplify right side
    4,676,470,292x = 103,554,799,443,420,889,088
  5. Step 5: Solve for x
    x = 103,554,799,443,420,889,088/4,676,470,292
  6. Step 6: Final answer
    x = 22,143,794,994.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.