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Finding the Third Proportional to 3,699,829,089 and 5,447,549,497.50

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Solution

The third proportional to 3,699,829,089 and 5,447,549,497.50 is: 8,020,855,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,829,089 : 5,447,549,497.50 = 5,447,549,497.50 : x
  2. Step 2: Convert to fraction form
    3,699,829,089/5,447,549,497.50 = 5,447,549,497.50/x
  3. Step 3: Cross multiply
    3,699,829,089x = 5,447,549,497.50 × 5,447,549,497.50
  4. Step 4: Simplify right side
    3,699,829,089x = 29,675,795,527,712,501,760
  5. Step 5: Solve for x
    x = 29,675,795,527,712,501,760/3,699,829,089
  6. Step 6: Final answer
    x = 8,020,855,778.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.