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Finding the Third Proportional to 6,852,223,732 and 15,010,138,952

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Solution

The third proportional to 6,852,223,732 and 15,010,138,952 is: 32,880,460,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852,223,732 : 15,010,138,952 = 15,010,138,952 : x
  2. Step 2: Convert to fraction form
    6,852,223,732/15,010,138,952 = 15,010,138,952/x
  3. Step 3: Cross multiply
    6,852,223,732x = 15,010,138,952 × 15,010,138,952
  4. Step 4: Simplify right side
    6,852,223,732x = 225,304,271,358,347,673,600
  5. Step 5: Solve for x
    x = 225,304,271,358,347,673,600/6,852,223,732
  6. Step 6: Final answer
    x = 32,880,460,441.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.