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Finding the Third Proportional to 7,421,531,042 and 15,905,431,840

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Solution

The third proportional to 7,421,531,042 and 15,905,431,840 is: 34,087,678,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421,531,042 : 15,905,431,840 = 15,905,431,840 : x
  2. Step 2: Convert to fraction form
    7,421,531,042/15,905,431,840 = 15,905,431,840/x
  3. Step 3: Cross multiply
    7,421,531,042x = 15,905,431,840 × 15,905,431,840
  4. Step 4: Simplify right side
    7,421,531,042x = 252,982,762,016,885,800,960
  5. Step 5: Solve for x
    x = 252,982,762,016,885,800,960/7,421,531,042
  6. Step 6: Final answer
    x = 34,087,678,214.27

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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.