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Finding the Third Proportional to 788,272,290 and 1,108,652,235.75

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Solution

The third proportional to 788,272,290 and 1,108,652,235.75 is: 1,559,245,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,272,290 : 1,108,652,235.75 = 1,108,652,235.75 : x
  2. Step 2: Convert to fraction form
    788,272,290/1,108,652,235.75 = 1,108,652,235.75/x
  3. Step 3: Cross multiply
    788,272,290x = 1,108,652,235.75 × 1,108,652,235.75
  4. Step 4: Simplify right side
    788,272,290x = 1,229,109,779,833,473,536
  5. Step 5: Solve for x
    x = 1,229,109,779,833,473,536/788,272,290
  6. Step 6: Final answer
    x = 1,559,245,194.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.