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Finding the Third Proportional to 3,508,178,734 and 7,800,730,964

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Solution

The third proportional to 3,508,178,734 and 7,800,730,964 is: 17,345,582,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508,178,734 : 7,800,730,964 = 7,800,730,964 : x
  2. Step 2: Convert to fraction form
    3,508,178,734/7,800,730,964 = 7,800,730,964/x
  3. Step 3: Cross multiply
    3,508,178,734x = 7,800,730,964 × 7,800,730,964
  4. Step 4: Simplify right side
    3,508,178,734x = 60,851,403,572,708,368,384
  5. Step 5: Solve for x
    x = 60,851,403,572,708,368,384/3,508,178,734
  6. Step 6: Final answer
    x = 17,345,582,476.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.