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Finding the Third Proportional to 340,827,077.64 and 518,112,678.76

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Solution

The third proportional to 340,827,077.64 and 518,112,678.76 is: 787,615,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,827,077.64 : 518,112,678.76 = 518,112,678.76 : x
  2. Step 2: Convert to fraction form
    340,827,077.64/518,112,678.76 = 518,112,678.76/x
  3. Step 3: Cross multiply
    340,827,077.64x = 518,112,678.76 × 518,112,678.76
  4. Step 4: Simplify right side
    340,827,077.64x = 268,440,747,893,634,880
  5. Step 5: Solve for x
    x = 268,440,747,893,634,880/340,827,077.64
  6. Step 6: Final answer
    x = 787,615,672.31

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