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Finding the Third Proportional to 662,536,746 and 1,435,489,804

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Solution

The third proportional to 662,536,746 and 1,435,489,804 is: 3,110,213,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,536,746 : 1,435,489,804 = 1,435,489,804 : x
  2. Step 2: Convert to fraction form
    662,536,746/1,435,489,804 = 1,435,489,804/x
  3. Step 3: Cross multiply
    662,536,746x = 1,435,489,804 × 1,435,489,804
  4. Step 4: Simplify right side
    662,536,746x = 2,060,630,977,387,958,528
  5. Step 5: Solve for x
    x = 2,060,630,977,387,958,528/662,536,746
  6. Step 6: Final answer
    x = 3,110,213,870.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.