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Finding the Third Proportional to 976,230,294.19 and 1,487,185,987.50

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Solution

The third proportional to 976,230,294.19 and 1,487,185,987.50 is: 2,265,574,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,230,294.19 : 1,487,185,987.50 = 1,487,185,987.50 : x
  2. Step 2: Convert to fraction form
    976,230,294.19/1,487,185,987.50 = 1,487,185,987.50/x
  3. Step 3: Cross multiply
    976,230,294.19x = 1,487,185,987.50 × 1,487,185,987.50
  4. Step 4: Simplify right side
    976,230,294.19x = 2,211,722,161,416,350,208
  5. Step 5: Solve for x
    x = 2,211,722,161,416,350,208/976,230,294.19
  6. Step 6: Final answer
    x = 2,265,574,193.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.