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Finding the Third Proportional to 767,307,872 and 1,663,655,123

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Solution

The third proportional to 767,307,872 and 1,663,655,123 is: 3,607,089,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,307,872 : 1,663,655,123 = 1,663,655,123 : x
  2. Step 2: Convert to fraction form
    767,307,872/1,663,655,123 = 1,663,655,123/x
  3. Step 3: Cross multiply
    767,307,872x = 1,663,655,123 × 1,663,655,123
  4. Step 4: Simplify right side
    767,307,872x = 2,767,748,368,284,145,152
  5. Step 5: Solve for x
    x = 2,767,748,368,284,145,152/767,307,872
  6. Step 6: Final answer
    x = 3,607,089,760.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.