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Finding the Third Proportional to 10,791,189,027 and 16,186,782,444

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Solution

The third proportional to 10,791,189,027 and 16,186,782,444 is: 24,280,172,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791,189,027 : 16,186,782,444 = 16,186,782,444 : x
  2. Step 2: Convert to fraction form
    10,791,189,027/16,186,782,444 = 16,186,782,444/x
  3. Step 3: Cross multiply
    10,791,189,027x = 16,186,782,444 × 16,186,782,444
  4. Step 4: Simplify right side
    10,791,189,027x = 262,011,925,889,386,610,688
  5. Step 5: Solve for x
    x = 262,011,925,889,386,610,688/10,791,189,027
  6. Step 6: Final answer
    x = 24,280,172,021.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.