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Finding the Third Proportional to 535,941,361 and 1,160,918,768

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Solution

The third proportional to 535,941,361 and 1,160,918,768 is: 2,514,701,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,941,361 : 1,160,918,768 = 1,160,918,768 : x
  2. Step 2: Convert to fraction form
    535,941,361/1,160,918,768 = 1,160,918,768/x
  3. Step 3: Cross multiply
    535,941,361x = 1,160,918,768 × 1,160,918,768
  4. Step 4: Simplify right side
    535,941,361x = 1,347,732,385,894,637,824
  5. Step 5: Solve for x
    x = 1,347,732,385,894,637,824/535,941,361
  6. Step 6: Final answer
    x = 2,514,701,204.21

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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.