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Finding the Third Proportional to 652,829,824 and 1,433,909,788

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Solution

The third proportional to 652,829,824 and 1,433,909,788 is: 3,149,514,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,829,824 : 1,433,909,788 = 1,433,909,788 : x
  2. Step 2: Convert to fraction form
    652,829,824/1,433,909,788 = 1,433,909,788/x
  3. Step 3: Cross multiply
    652,829,824x = 1,433,909,788 × 1,433,909,788
  4. Step 4: Simplify right side
    652,829,824x = 2,056,097,280,122,204,928
  5. Step 5: Solve for x
    x = 2,056,097,280,122,204,928/652,829,824
  6. Step 6: Final answer
    x = 3,149,514,934.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.