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Finding the Third Proportional to 2,931,508,284 and 6,389,762,790

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Solution

The third proportional to 2,931,508,284 and 6,389,762,790 is: 13,927,666,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,508,284 : 6,389,762,790 = 6,389,762,790 : x
  2. Step 2: Convert to fraction form
    2,931,508,284/6,389,762,790 = 6,389,762,790/x
  3. Step 3: Cross multiply
    2,931,508,284x = 6,389,762,790 × 6,389,762,790
  4. Step 4: Simplify right side
    2,931,508,284x = 40,829,068,512,468,582,400
  5. Step 5: Solve for x
    x = 40,829,068,512,468,582,400/2,931,508,284
  6. Step 6: Final answer
    x = 13,927,666,087.56

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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.