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Finding the Third Proportional to 767,708,987.25 and 1,657,749,052.50

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Solution

The third proportional to 767,708,987.25 and 1,657,749,052.50 is: 3,579,653,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,708,987.25 : 1,657,749,052.50 = 1,657,749,052.50 : x
  2. Step 2: Convert to fraction form
    767,708,987.25/1,657,749,052.50 = 1,657,749,052.50/x
  3. Step 3: Cross multiply
    767,708,987.25x = 1,657,749,052.50 × 1,657,749,052.50
  4. Step 4: Simplify right side
    767,708,987.25x = 2,748,131,921,064,647,680
  5. Step 5: Solve for x
    x = 2,748,131,921,064,647,680/767,708,987.25
  6. Step 6: Final answer
    x = 3,579,653,184.61

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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.