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Finding the Third Proportional to 877,418,720 and 1,905,878,464

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Solution

The third proportional to 877,418,720 and 1,905,878,464 is: 4,139,839,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,418,720 : 1,905,878,464 = 1,905,878,464 : x
  2. Step 2: Convert to fraction form
    877,418,720/1,905,878,464 = 1,905,878,464/x
  3. Step 3: Cross multiply
    877,418,720x = 1,905,878,464 × 1,905,878,464
  4. Step 4: Simplify right side
    877,418,720x = 3,632,372,719,538,999,296
  5. Step 5: Solve for x
    x = 3,632,372,719,538,999,296/877,418,720
  6. Step 6: Final answer
    x = 4,139,839,550.65

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