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Finding the Third Proportional to 243,592,627 and 568,402,424

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Solution

The third proportional to 243,592,627 and 568,402,424 is: 1,326,318,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,592,627 : 568,402,424 = 568,402,424 : x
  2. Step 2: Convert to fraction form
    243,592,627/568,402,424 = 568,402,424/x
  3. Step 3: Cross multiply
    243,592,627x = 568,402,424 × 568,402,424
  4. Step 4: Simplify right side
    243,592,627x = 323,081,315,609,075,776
  5. Step 5: Solve for x
    x = 323,081,315,609,075,776/243,592,627
  6. Step 6: Final answer
    x = 1,326,318,122.14

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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.