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Finding the Third Proportional to 468,011,646 and 1,014,115,068

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Solution

The third proportional to 468,011,646 and 1,014,115,068 is: 2,197,443,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,011,646 : 1,014,115,068 = 1,014,115,068 : x
  2. Step 2: Convert to fraction form
    468,011,646/1,014,115,068 = 1,014,115,068/x
  3. Step 3: Cross multiply
    468,011,646x = 1,014,115,068 × 1,014,115,068
  4. Step 4: Simplify right side
    468,011,646x = 1,028,429,371,144,644,608
  5. Step 5: Solve for x
    x = 1,028,429,371,144,644,608/468,011,646
  6. Step 6: Final answer
    x = 2,197,443,973.74

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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.