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Finding the Third Proportional to 5,249,802 and 10,863,742.50

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Solution

The third proportional to 5,249,802 and 10,863,742.50 is: 22,481,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249,802 : 10,863,742.50 = 10,863,742.50 : x
  2. Step 2: Convert to fraction form
    5,249,802/10,863,742.50 = 10,863,742.50/x
  3. Step 3: Cross multiply
    5,249,802x = 10,863,742.50 × 10,863,742.50
  4. Step 4: Simplify right side
    5,249,802x = 118,020,901,106,306.25
  5. Step 5: Solve for x
    x = 118,020,901,106,306.25/5,249,802
  6. Step 6: Final answer
    x = 22,481,019.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.