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Finding the Third Proportional to 1,973,922,919 and 4,389,186,829

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Solution

The third proportional to 1,973,922,919 and 4,389,186,829 is: 9,759,733,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,922,919 : 4,389,186,829 = 4,389,186,829 : x
  2. Step 2: Convert to fraction form
    1,973,922,919/4,389,186,829 = 4,389,186,829/x
  3. Step 3: Cross multiply
    1,973,922,919x = 4,389,186,829 × 4,389,186,829
  4. Step 4: Simplify right side
    1,973,922,919x = 19,264,961,019,867,074,560
  5. Step 5: Solve for x
    x = 19,264,961,019,867,074,560/1,973,922,919
  6. Step 6: Final answer
    x = 9,759,733,186.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.