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Finding the Third Proportional to 19,376,064 and 45,674,784

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Solution

The third proportional to 19,376,064 and 45,674,784 is: 107,668,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,376,064 : 45,674,784 = 45,674,784 : x
  2. Step 2: Convert to fraction form
    19,376,064/45,674,784 = 45,674,784/x
  3. Step 3: Cross multiply
    19,376,064x = 45,674,784 × 45,674,784
  4. Step 4: Simplify right side
    19,376,064x = 2,086,185,893,446,656
  5. Step 5: Solve for x
    x = 2,086,185,893,446,656/19,376,064
  6. Step 6: Final answer
    x = 107,668,197.91

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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.