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Finding the Third Proportional to 4,478,653,138 and 9,702,552,633

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Solution

The third proportional to 4,478,653,138 and 9,702,552,633 is: 21,019,606,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478,653,138 : 9,702,552,633 = 9,702,552,633 : x
  2. Step 2: Convert to fraction form
    4,478,653,138/9,702,552,633 = 9,702,552,633/x
  3. Step 3: Cross multiply
    4,478,653,138x = 9,702,552,633 × 9,702,552,633
  4. Step 4: Simplify right side
    4,478,653,138x = 94,139,527,596,135,235,584
  5. Step 5: Solve for x
    x = 94,139,527,596,135,235,584/4,478,653,138
  6. Step 6: Final answer
    x = 21,019,606,720.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.