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Finding the Third Proportional to 2,570,868,234 and 5,214,023,428.50

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Solution

The third proportional to 2,570,868,234 and 5,214,023,428.50 is: 10,574,653,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,868,234 : 5,214,023,428.50 = 5,214,023,428.50 : x
  2. Step 2: Convert to fraction form
    2,570,868,234/5,214,023,428.50 = 5,214,023,428.50/x
  3. Step 3: Cross multiply
    2,570,868,234x = 5,214,023,428.50 × 5,214,023,428.50
  4. Step 4: Simplify right side
    2,570,868,234x = 27,186,040,312,946,892,800
  5. Step 5: Solve for x
    x = 27,186,040,312,946,892,800/2,570,868,234
  6. Step 6: Final answer
    x = 10,574,653,322.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.