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Finding the Third Proportional to 287,325,249,132 and 404,103,739,344

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Solution

The third proportional to 287,325,249,132 and 404,103,739,344 is: 568,344,872,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,325,249,132 : 404,103,739,344 = 404,103,739,344 : x
  2. Step 2: Convert to fraction form
    287,325,249,132/404,103,739,344 = 404,103,739,344/x
  3. Step 3: Cross multiply
    287,325,249,132x = 404,103,739,344 × 404,103,739,344
  4. Step 4: Simplify right side
    287,325,249,132x = 163,299,832,151,803,491,778,560
  5. Step 5: Solve for x
    x = 163,299,832,151,803,491,778,560/287,325,249,132
  6. Step 6: Final answer
    x = 568,344,872,736.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.