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Finding the Third Proportional to 1,854,835,446 and 4,000,228,056

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Solution

The third proportional to 1,854,835,446 and 4,000,228,056 is: 8,627,085,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,835,446 : 4,000,228,056 = 4,000,228,056 : x
  2. Step 2: Convert to fraction form
    1,854,835,446/4,000,228,056 = 4,000,228,056/x
  3. Step 3: Cross multiply
    1,854,835,446x = 4,000,228,056 × 4,000,228,056
  4. Step 4: Simplify right side
    1,854,835,446x = 16,001,824,500,009,539,584
  5. Step 5: Solve for x
    x = 16,001,824,500,009,539,584/1,854,835,446
  6. Step 6: Final answer
    x = 8,627,085,779.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.