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Finding the Third Proportional to 4,525,146,184 and 7,062,678,089

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Solution

The third proportional to 4,525,146,184 and 7,062,678,089 is: 11,023,162,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525,146,184 : 7,062,678,089 = 7,062,678,089 : x
  2. Step 2: Convert to fraction form
    4,525,146,184/7,062,678,089 = 7,062,678,089/x
  3. Step 3: Cross multiply
    4,525,146,184x = 7,062,678,089 × 7,062,678,089
  4. Step 4: Simplify right side
    4,525,146,184x = 49,881,421,788,840,689,664
  5. Step 5: Solve for x
    x = 49,881,421,788,840,689,664/4,525,146,184
  6. Step 6: Final answer
    x = 11,023,162,514.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.