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Finding the Third Proportional to 3,932,742,174.50 and 8,426,436,316

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Solution

The third proportional to 3,932,742,174.50 and 8,426,436,316 is: 18,054,788,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,742,174.50 : 8,426,436,316 = 8,426,436,316 : x
  2. Step 2: Convert to fraction form
    3,932,742,174.50/8,426,436,316 = 8,426,436,316/x
  3. Step 3: Cross multiply
    3,932,742,174.50x = 8,426,436,316 × 8,426,436,316
  4. Step 4: Simplify right side
    3,932,742,174.50x = 71,004,828,987,603,648,512
  5. Step 5: Solve for x
    x = 71,004,828,987,603,648,512/3,932,742,174.50
  6. Step 6: Final answer
    x = 18,054,788,703.92

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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.