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Finding the Third Proportional to 4,077,765,941 and 6,291,250,748

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Solution

The third proportional to 4,077,765,941 and 6,291,250,748 is: 9,706,254,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,765,941 : 6,291,250,748 = 6,291,250,748 : x
  2. Step 2: Convert to fraction form
    4,077,765,941/6,291,250,748 = 6,291,250,748/x
  3. Step 3: Cross multiply
    4,077,765,941x = 6,291,250,748 × 6,291,250,748
  4. Step 4: Simplify right side
    4,077,765,941x = 39,579,835,974,210,560,000
  5. Step 5: Solve for x
    x = 39,579,835,974,210,560,000/4,077,765,941
  6. Step 6: Final answer
    x = 9,706,254,980.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.