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Finding the Third Proportional to 48,047,020 and 103,652,306

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Solution

The third proportional to 48,047,020 and 103,652,306 is: 223,610,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,047,020 : 103,652,306 = 103,652,306 : x
  2. Step 2: Convert to fraction form
    48,047,020/103,652,306 = 103,652,306/x
  3. Step 3: Cross multiply
    48,047,020x = 103,652,306 × 103,652,306
  4. Step 4: Simplify right side
    48,047,020x = 10,743,800,539,117,636
  5. Step 5: Solve for x
    x = 10,743,800,539,117,636/48,047,020
  6. Step 6: Final answer
    x = 223,610,133.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.