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Finding the Third Proportional to 961,260,540 and 1,973,480,358

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Solution

The third proportional to 961,260,540 and 1,973,480,358 is: 4,051,580,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,540 : 1,973,480,358 = 1,973,480,358 : x
  2. Step 2: Convert to fraction form
    961,260,540/1,973,480,358 = 1,973,480,358/x
  3. Step 3: Cross multiply
    961,260,540x = 1,973,480,358 × 1,973,480,358
  4. Step 4: Simplify right side
    961,260,540x = 3,894,624,723,411,808,256
  5. Step 5: Solve for x
    x = 3,894,624,723,411,808,256/961,260,540
  6. Step 6: Final answer
    x = 4,051,580,774.77

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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.