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Finding the Third Proportional to 1,650,346,064 and 2,496,779,544

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Solution

The third proportional to 1,650,346,064 and 2,496,779,544 is: 3,777,333,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,346,064 : 2,496,779,544 = 2,496,779,544 : x
  2. Step 2: Convert to fraction form
    1,650,346,064/2,496,779,544 = 2,496,779,544/x
  3. Step 3: Cross multiply
    1,650,346,064x = 2,496,779,544 × 2,496,779,544
  4. Step 4: Simplify right side
    1,650,346,064x = 6,233,908,091,336,848,384
  5. Step 5: Solve for x
    x = 6,233,908,091,336,848,384/1,650,346,064
  6. Step 6: Final answer
    x = 3,777,333,873.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.