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Finding the Third Proportional to 762,920,712 and 1,647,806,008

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Solution

The third proportional to 762,920,712 and 1,647,806,008 is: 3,559,039,094.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,920,712 : 1,647,806,008 = 1,647,806,008 : x
  2. Step 2: Convert to fraction form
    762,920,712/1,647,806,008 = 1,647,806,008/x
  3. Step 3: Cross multiply
    762,920,712x = 1,647,806,008 × 1,647,806,008
  4. Step 4: Simplify right side
    762,920,712x = 2,715,264,640,000,896,000
  5. Step 5: Solve for x
    x = 2,715,264,640,000,896,000/762,920,712
  6. Step 6: Final answer
    x = 3,559,039,094.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.