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Finding the Third Proportional to 7,193,200,417,053 and 15,532,872,228,903

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Solution

The third proportional to 7,193,200,417,053 and 15,532,872,228,903 is: 33,541,414,904,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193,200,417,053 : 15,532,872,228,903 = 15,532,872,228,903 : x
  2. Step 2: Convert to fraction form
    7,193,200,417,053/15,532,872,228,903 = 15,532,872,228,903/x
  3. Step 3: Cross multiply
    7,193,200,417,053x = 15,532,872,228,903 × 15,532,872,228,903
  4. Step 4: Simplify right side
    7,193,200,417,053x = 241,270,119,679,426,064,115,826,688
  5. Step 5: Solve for x
    x = 241,270,119,679,426,064,115,826,688/7,193,200,417,053
  6. Step 6: Final answer
    x = 33,541,414,904,476.22

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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.