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Finding the Third Proportional to 976,045,765.50 and 1,486,938,654

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Solution

The third proportional to 976,045,765.50 and 1,486,938,654 is: 2,265,248,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,045,765.50 : 1,486,938,654 = 1,486,938,654 : x
  2. Step 2: Convert to fraction form
    976,045,765.50/1,486,938,654 = 1,486,938,654/x
  3. Step 3: Cross multiply
    976,045,765.50x = 1,486,938,654 × 1,486,938,654
  4. Step 4: Simplify right side
    976,045,765.50x = 2,210,986,560,759,331,840
  5. Step 5: Solve for x
    x = 2,210,986,560,759,331,840/976,045,765.50
  6. Step 6: Final answer
    x = 2,265,248,863.23

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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.