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Finding the Third Proportional to 2,264,958,047 and 4,921,971,246

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Solution

The third proportional to 2,264,958,047 and 4,921,971,246 is: 10,695,915,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264,958,047 : 4,921,971,246 = 4,921,971,246 : x
  2. Step 2: Convert to fraction form
    2,264,958,047/4,921,971,246 = 4,921,971,246/x
  3. Step 3: Cross multiply
    2,264,958,047x = 4,921,971,246 × 4,921,971,246
  4. Step 4: Simplify right side
    2,264,958,047x = 24,225,800,946,450,792,448
  5. Step 5: Solve for x
    x = 24,225,800,946,450,792,448/2,264,958,047
  6. Step 6: Final answer
    x = 10,695,915,970.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.