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Finding the Third Proportional to 462,053,042 and 1,089,639,701

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Solution

The third proportional to 462,053,042 and 1,089,639,701 is: 2,569,650,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,053,042 : 1,089,639,701 = 1,089,639,701 : x
  2. Step 2: Convert to fraction form
    462,053,042/1,089,639,701 = 1,089,639,701/x
  3. Step 3: Cross multiply
    462,053,042x = 1,089,639,701 × 1,089,639,701
  4. Step 4: Simplify right side
    462,053,042x = 1,187,314,677,995,369,472
  5. Step 5: Solve for x
    x = 1,187,314,677,995,369,472/462,053,042
  6. Step 6: Final answer
    x = 2,569,650,170.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.