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Finding the Third Proportional to 315,300,006 and 736,683,086.25

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Solution

The third proportional to 315,300,006 and 736,683,086.25 is: 1,721,224,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,300,006 : 736,683,086.25 = 736,683,086.25 : x
  2. Step 2: Convert to fraction form
    315,300,006/736,683,086.25 = 736,683,086.25/x
  3. Step 3: Cross multiply
    315,300,006x = 736,683,086.25 × 736,683,086.25
  4. Step 4: Simplify right side
    315,300,006x = 542,701,969,566,824,960
  5. Step 5: Solve for x
    x = 542,701,969,566,824,960/315,300,006
  6. Step 6: Final answer
    x = 1,721,224,101.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.