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Finding the Third Proportional to 9,072,600,210 and 14,232,219,777

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Solution

The third proportional to 9,072,600,210 and 14,232,219,777 is: 22,326,133,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072,600,210 : 14,232,219,777 = 14,232,219,777 : x
  2. Step 2: Convert to fraction form
    9,072,600,210/14,232,219,777 = 14,232,219,777/x
  3. Step 3: Cross multiply
    9,072,600,210x = 14,232,219,777 × 14,232,219,777
  4. Step 4: Simplify right side
    9,072,600,210x = 202,556,079,780,829,921,280
  5. Step 5: Solve for x
    x = 202,556,079,780,829,921,280/9,072,600,210
  6. Step 6: Final answer
    x = 22,326,133,092.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.