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Finding the Third Proportional to 961,260,496.75 and 1,973,480,280.50

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Solution

The third proportional to 961,260,496.75 and 1,973,480,280.50 is: 4,051,580,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,496.75 : 1,973,480,280.50 = 1,973,480,280.50 : x
  2. Step 2: Convert to fraction form
    961,260,496.75/1,973,480,280.50 = 1,973,480,280.50/x
  3. Step 3: Cross multiply
    961,260,496.75x = 1,973,480,280.50 × 1,973,480,280.50
  4. Step 4: Simplify right side
    961,260,496.75x = 3,894,624,417,522,358,784
  5. Step 5: Solve for x
    x = 3,894,624,417,522,358,784/961,260,496.75
  6. Step 6: Final answer
    x = 4,051,580,638.85

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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.