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Finding the Third Proportional to 961,260,534 and 1,973,480,346

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Solution

The third proportional to 961,260,534 and 1,973,480,346 is: 4,051,580,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,534 : 1,973,480,346 = 1,973,480,346 : x
  2. Step 2: Convert to fraction form
    961,260,534/1,973,480,346 = 1,973,480,346/x
  3. Step 3: Cross multiply
    961,260,534x = 1,973,480,346 × 1,973,480,346
  4. Step 4: Simplify right side
    961,260,534x = 3,894,624,676,048,279,552
  5. Step 5: Solve for x
    x = 3,894,624,676,048,279,552/961,260,534
  6. Step 6: Final answer
    x = 4,051,580,750.79

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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.