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Finding the Third Proportional to 243,592,629 and 568,402,429

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Solution

The third proportional to 243,592,629 and 568,402,429 is: 1,326,318,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,592,629 : 568,402,429 = 568,402,429 : x
  2. Step 2: Convert to fraction form
    243,592,629/568,402,429 = 568,402,429/x
  3. Step 3: Cross multiply
    243,592,629x = 568,402,429 × 568,402,429
  4. Step 4: Simplify right side
    243,592,629x = 323,081,321,293,100,032
  5. Step 5: Solve for x
    x = 323,081,321,293,100,032/243,592,629
  6. Step 6: Final answer
    x = 1,326,318,134.58

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.