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Finding the Third Proportional to 7,193,200,417,053 and 15,532,872,228,901

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Solution

The third proportional to 7,193,200,417,053 and 15,532,872,228,901 is: 33,541,414,904,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193,200,417,053 : 15,532,872,228,901 = 15,532,872,228,901 : x
  2. Step 2: Convert to fraction form
    7,193,200,417,053/15,532,872,228,901 = 15,532,872,228,901/x
  3. Step 3: Cross multiply
    7,193,200,417,053x = 15,532,872,228,901 × 15,532,872,228,901
  4. Step 4: Simplify right side
    7,193,200,417,053x = 241,270,119,679,363,907,349,118,976
  5. Step 5: Solve for x
    x = 241,270,119,679,363,907,349,118,976/7,193,200,417,053
  6. Step 6: Final answer
    x = 33,541,414,904,467.58

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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.