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Finding the Third Proportional to 2,635,266,284 and 3,513,275,466

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Solution

The third proportional to 2,635,266,284 and 3,513,275,466 is: 4,683,816,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635,266,284 : 3,513,275,466 = 3,513,275,466 : x
  2. Step 2: Convert to fraction form
    2,635,266,284/3,513,275,466 = 3,513,275,466/x
  3. Step 3: Cross multiply
    2,635,266,284x = 3,513,275,466 × 3,513,275,466
  4. Step 4: Simplify right side
    2,635,266,284x = 12,343,104,499,997,517,824
  5. Step 5: Solve for x
    x = 12,343,104,499,997,517,824/2,635,266,284
  6. Step 6: Final answer
    x = 4,683,816,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.