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Finding the Third Proportional to 916,746,045 and 1,985,789,856

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Solution

The third proportional to 916,746,045 and 1,985,789,856 is: 4,301,476,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,746,045 : 1,985,789,856 = 1,985,789,856 : x
  2. Step 2: Convert to fraction form
    916,746,045/1,985,789,856 = 1,985,789,856/x
  3. Step 3: Cross multiply
    916,746,045x = 1,985,789,856 × 1,985,789,856
  4. Step 4: Simplify right side
    916,746,045x = 3,943,361,352,192,500,736
  5. Step 5: Solve for x
    x = 3,943,361,352,192,500,736/916,746,045
  6. Step 6: Final answer
    x = 4,301,476,263.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.