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Finding the Third Proportional to 7,474,412,748 and 17,644,055,940

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Solution

The third proportional to 7,474,412,748 and 17,644,055,940 is: 41,650,457,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,412,748 : 17,644,055,940 = 17,644,055,940 : x
  2. Step 2: Convert to fraction form
    7,474,412,748/17,644,055,940 = 17,644,055,940/x
  3. Step 3: Cross multiply
    7,474,412,748x = 17,644,055,940 × 17,644,055,940
  4. Step 4: Simplify right side
    7,474,412,748x = 311,312,710,013,849,305,088
  5. Step 5: Solve for x
    x = 311,312,710,013,849,305,088/7,474,412,748
  6. Step 6: Final answer
    x = 41,650,457,435.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.