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Finding the Third Proportional to 4,590,810,489 and 9,819,875,058

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Solution

The third proportional to 4,590,810,489 and 9,819,875,058 is: 21,004,993,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,810,489 : 9,819,875,058 = 9,819,875,058 : x
  2. Step 2: Convert to fraction form
    4,590,810,489/9,819,875,058 = 9,819,875,058/x
  3. Step 3: Cross multiply
    4,590,810,489x = 9,819,875,058 × 9,819,875,058
  4. Step 4: Simplify right side
    4,590,810,489x = 96,429,946,154,730,504,192
  5. Step 5: Solve for x
    x = 96,429,946,154,730,504,192/4,590,810,489
  6. Step 6: Final answer
    x = 21,004,993,864.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.