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Finding the Third Proportional to 217,707,702,911 and 340,772,016,044

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Solution

The third proportional to 217,707,702,911 and 340,772,016,044 is: 533,401,277,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,707,702,911 : 340,772,016,044 = 340,772,016,044 : x
  2. Step 2: Convert to fraction form
    217,707,702,911/340,772,016,044 = 340,772,016,044/x
  3. Step 3: Cross multiply
    217,707,702,911x = 340,772,016,044 × 340,772,016,044
  4. Step 4: Simplify right side
    217,707,702,911x = 116,125,566,918,692,192,649,216
  5. Step 5: Solve for x
    x = 116,125,566,918,692,192,649,216/217,707,702,911
  6. Step 6: Final answer
    x = 533,401,277,795.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.