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Finding the Third Proportional to 19,683,561 and 26,497,831.50

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Solution

The third proportional to 19,683,561 and 26,497,831.50 is: 35,671,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683,561 : 26,497,831.50 = 26,497,831.50 : x
  2. Step 2: Convert to fraction form
    19,683,561/26,497,831.50 = 26,497,831.50/x
  3. Step 3: Cross multiply
    19,683,561x = 26,497,831.50 × 26,497,831.50
  4. Step 4: Simplify right side
    19,683,561x = 702,135,074,202,392.25
  5. Step 5: Solve for x
    x = 702,135,074,202,392.25/19,683,561
  6. Step 6: Final answer
    x = 35,671,140.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.