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Finding the Third Proportional to 1,047,044,772 and 1,623,478,968

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Solution

The third proportional to 1,047,044,772 and 1,623,478,968 is: 2,517,260,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,044,772 : 1,623,478,968 = 1,623,478,968 : x
  2. Step 2: Convert to fraction form
    1,047,044,772/1,623,478,968 = 1,623,478,968/x
  3. Step 3: Cross multiply
    1,047,044,772x = 1,623,478,968 × 1,623,478,968
  4. Step 4: Simplify right side
    1,047,044,772x = 2,635,683,959,538,344,960
  5. Step 5: Solve for x
    x = 2,635,683,959,538,344,960/1,047,044,772
  6. Step 6: Final answer
    x = 2,517,260,035.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.