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Finding the Third Proportional to 243,592,620.75 and 568,402,412.63

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Solution

The third proportional to 243,592,620.75 and 568,402,412.63 is: 1,326,318,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,592,620.75 : 568,402,412.63 = 568,402,412.63 : x
  2. Step 2: Convert to fraction form
    243,592,620.75/568,402,412.63 = 568,402,412.63/x
  3. Step 3: Cross multiply
    243,592,620.75x = 568,402,412.63 × 568,402,412.63
  4. Step 4: Simplify right side
    243,592,620.75x = 323,081,302,677,920,768
  5. Step 5: Solve for x
    x = 323,081,302,677,920,768/243,592,620.75
  6. Step 6: Final answer
    x = 1,326,318,103.08

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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.