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Finding the Third Proportional to 9,869,386.50 and 22,008,022.50

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Solution

The third proportional to 9,869,386.50 and 22,008,022.50 is: 49,076,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869,386.50 : 22,008,022.50 = 22,008,022.50 : x
  2. Step 2: Convert to fraction form
    9,869,386.50/22,008,022.50 = 22,008,022.50/x
  3. Step 3: Cross multiply
    9,869,386.50x = 22,008,022.50 × 22,008,022.50
  4. Step 4: Simplify right side
    9,869,386.50x = 484,353,054,360,506.25
  5. Step 5: Solve for x
    x = 484,353,054,360,506.25/9,869,386.50
  6. Step 6: Final answer
    x = 49,076,308.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.