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Finding the Third Proportional to 2,432,503,904 and 5,310,886,808

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Solution

The third proportional to 2,432,503,904 and 5,310,886,808 is: 11,595,261,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432,503,904 : 5,310,886,808 = 5,310,886,808 : x
  2. Step 2: Convert to fraction form
    2,432,503,904/5,310,886,808 = 5,310,886,808/x
  3. Step 3: Cross multiply
    2,432,503,904x = 5,310,886,808 × 5,310,886,808
  4. Step 4: Simplify right side
    2,432,503,904x = 28,205,518,687,388,430,336
  5. Step 5: Solve for x
    x = 28,205,518,687,388,430,336/2,432,503,904
  6. Step 6: Final answer
    x = 11,595,261,426.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.