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Finding the Third Proportional to 19,745,004 and 29,827,890

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Solution

The third proportional to 19,745,004 and 29,827,890 is: 45,059,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745,004 : 29,827,890 = 29,827,890 : x
  2. Step 2: Convert to fraction form
    19,745,004/29,827,890 = 29,827,890/x
  3. Step 3: Cross multiply
    19,745,004x = 29,827,890 × 29,827,890
  4. Step 4: Simplify right side
    19,745,004x = 889,703,021,852,100
  5. Step 5: Solve for x
    x = 889,703,021,852,100/19,745,004
  6. Step 6: Final answer
    x = 45,059,652.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.