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Finding the Third Proportional to 146,480,770,560 and 316,378,742,784

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Solution

The third proportional to 146,480,770,560 and 316,378,742,784 is: 683,335,488,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,480,770,560 : 316,378,742,784 = 316,378,742,784 : x
  2. Step 2: Convert to fraction form
    146,480,770,560/316,378,742,784 = 316,378,742,784/x
  3. Step 3: Cross multiply
    146,480,770,560x = 316,378,742,784 × 316,378,742,784
  4. Step 4: Simplify right side
    146,480,770,560x = 100,095,508,885,584,432,070,656
  5. Step 5: Solve for x
    x = 100,095,508,885,584,432,070,656/146,480,770,560
  6. Step 6: Final answer
    x = 683,335,488,357.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.