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Finding the Third Proportional to 2,471,508,370 and 3,730,246,712

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Solution

The third proportional to 2,471,508,370 and 3,730,246,712 is: 5,630,060,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,508,370 : 3,730,246,712 = 3,730,246,712 : x
  2. Step 2: Convert to fraction form
    2,471,508,370/3,730,246,712 = 3,730,246,712/x
  3. Step 3: Cross multiply
    2,471,508,370x = 3,730,246,712 × 3,730,246,712
  4. Step 4: Simplify right side
    2,471,508,370x = 13,914,740,532,386,811,904
  5. Step 5: Solve for x
    x = 13,914,740,532,386,811,904/2,471,508,370
  6. Step 6: Final answer
    x = 5,630,060,048.06

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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.