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Finding the Third Proportional to 2,931,508,289 and 6,389,762,800

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Solution

The third proportional to 2,931,508,289 and 6,389,762,800 is: 13,927,666,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,508,289 : 6,389,762,800 = 6,389,762,800 : x
  2. Step 2: Convert to fraction form
    2,931,508,289/6,389,762,800 = 6,389,762,800/x
  3. Step 3: Cross multiply
    2,931,508,289x = 6,389,762,800 × 6,389,762,800
  4. Step 4: Simplify right side
    2,931,508,289x = 40,829,068,640,263,839,744
  5. Step 5: Solve for x
    x = 40,829,068,640,263,839,744/2,931,508,289
  6. Step 6: Final answer
    x = 13,927,666,107.40

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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.