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Finding the Third Proportional to 767,708,971 and 1,657,749,016

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Solution

The third proportional to 767,708,971 and 1,657,749,016 is: 3,579,653,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,708,971 : 1,657,749,016 = 1,657,749,016 : x
  2. Step 2: Convert to fraction form
    767,708,971/1,657,749,016 = 1,657,749,016/x
  3. Step 3: Cross multiply
    767,708,971x = 1,657,749,016 × 1,657,749,016
  4. Step 4: Simplify right side
    767,708,971x = 2,748,131,800,048,968,192
  5. Step 5: Solve for x
    x = 2,748,131,800,048,968,192/767,708,971
  6. Step 6: Final answer
    x = 3,579,653,102.75

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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.