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Finding the Third Proportional to 5,757,500,209 and 8,845,762,731

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Solution

The third proportional to 5,757,500,209 and 8,845,762,731 is: 13,590,536,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757,500,209 : 8,845,762,731 = 8,845,762,731 : x
  2. Step 2: Convert to fraction form
    5,757,500,209/8,845,762,731 = 8,845,762,731/x
  3. Step 3: Cross multiply
    5,757,500,209x = 8,845,762,731 × 8,845,762,731
  4. Step 4: Simplify right side
    5,757,500,209x = 78,247,518,293,148,581,888
  5. Step 5: Solve for x
    x = 78,247,518,293,148,581,888/5,757,500,209
  6. Step 6: Final answer
    x = 13,590,536,769.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.