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Finding the Third Proportional to 1,109,748,672 and 2,414,857,784

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Solution

The third proportional to 1,109,748,672 and 2,414,857,784 is: 5,254,827,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,748,672 : 2,414,857,784 = 2,414,857,784 : x
  2. Step 2: Convert to fraction form
    1,109,748,672/2,414,857,784 = 2,414,857,784/x
  3. Step 3: Cross multiply
    1,109,748,672x = 2,414,857,784 × 2,414,857,784
  4. Step 4: Simplify right side
    1,109,748,672x = 5,831,538,116,945,390,592
  5. Step 5: Solve for x
    x = 5,831,538,116,945,390,592/1,109,748,672
  6. Step 6: Final answer
    x = 5,254,827,749.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.