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Finding the Third Proportional to 3,078,648,288 and 6,721,818,138

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Solution

The third proportional to 3,078,648,288 and 6,721,818,138 is: 14,676,193,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078,648,288 : 6,721,818,138 = 6,721,818,138 : x
  2. Step 2: Convert to fraction form
    3,078,648,288/6,721,818,138 = 6,721,818,138/x
  3. Step 3: Cross multiply
    3,078,648,288x = 6,721,818,138 × 6,721,818,138
  4. Step 4: Simplify right side
    3,078,648,288x = 45,182,839,080,345,788,416
  5. Step 5: Solve for x
    x = 45,182,839,080,345,788,416/3,078,648,288
  6. Step 6: Final answer
    x = 14,676,193,853.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.