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Finding the Third Proportional to 3,148,654,678.50 and 7,289,334,774

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Solution

The third proportional to 3,148,654,678.50 and 7,289,334,774 is: 16,875,271,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,654,678.50 : 7,289,334,774 = 7,289,334,774 : x
  2. Step 2: Convert to fraction form
    3,148,654,678.50/7,289,334,774 = 7,289,334,774/x
  3. Step 3: Cross multiply
    3,148,654,678.50x = 7,289,334,774 × 7,289,334,774
  4. Step 4: Simplify right side
    3,148,654,678.50x = 53,134,401,447,445,635,072
  5. Step 5: Solve for x
    x = 53,134,401,447,445,635,072/3,148,654,678.50
  6. Step 6: Final answer
    x = 16,875,271,146.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.