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Finding the Third Proportional to 726,880,232 and 1,586,975,000

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Solution

The third proportional to 726,880,232 and 1,586,975,000 is: 3,464,793,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,880,232 : 1,586,975,000 = 1,586,975,000 : x
  2. Step 2: Convert to fraction form
    726,880,232/1,586,975,000 = 1,586,975,000/x
  3. Step 3: Cross multiply
    726,880,232x = 1,586,975,000 × 1,586,975,000
  4. Step 4: Simplify right side
    726,880,232x = 2,518,489,650,624,999,936
  5. Step 5: Solve for x
    x = 2,518,489,650,624,999,936/726,880,232
  6. Step 6: Final answer
    x = 3,464,793,152.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.