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Finding the Third Proportional to 976,045,776.75 and 1,486,938,670.88

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Solution

The third proportional to 976,045,776.75 and 1,486,938,670.88 is: 2,265,248,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,045,776.75 : 1,486,938,670.88 = 1,486,938,670.88 : x
  2. Step 2: Convert to fraction form
    976,045,776.75/1,486,938,670.88 = 1,486,938,670.88/x
  3. Step 3: Cross multiply
    976,045,776.75x = 1,486,938,670.88 × 1,486,938,670.88
  4. Step 4: Simplify right side
    976,045,776.75x = 2,210,986,610,943,511,552
  5. Step 5: Solve for x
    x = 2,210,986,610,943,511,552/976,045,776.75
  6. Step 6: Final answer
    x = 2,265,248,888.54

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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.