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Finding the Third Proportional to 720,946,522.50 and 1,480,112,281.50

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Solution

The third proportional to 720,946,522.50 and 1,480,112,281.50 is: 3,038,689,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,946,522.50 : 1,480,112,281.50 = 1,480,112,281.50 : x
  2. Step 2: Convert to fraction form
    720,946,522.50/1,480,112,281.50 = 1,480,112,281.50/x
  3. Step 3: Cross multiply
    720,946,522.50x = 1,480,112,281.50 × 1,480,112,281.50
  4. Step 4: Simplify right side
    720,946,522.50x = 2,190,732,365,847,135,232
  5. Step 5: Solve for x
    x = 2,190,732,365,847,135,232/720,946,522.50
  6. Step 6: Final answer
    x = 3,038,689,136.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.