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Finding the Third Proportional to 4,829,980,881 and 10,435,465,644

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Solution

The third proportional to 4,829,980,881 and 10,435,465,644 is: 22,546,454,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,980,881 : 10,435,465,644 = 10,435,465,644 : x
  2. Step 2: Convert to fraction form
    4,829,980,881/10,435,465,644 = 10,435,465,644/x
  3. Step 3: Cross multiply
    4,829,980,881x = 10,435,465,644 × 10,435,465,644
  4. Step 4: Simplify right side
    4,829,980,881x = 108,898,943,207,104,331,776
  5. Step 5: Solve for x
    x = 108,898,943,207,104,331,776/4,829,980,881
  6. Step 6: Final answer
    x = 22,546,454,300.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.