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Finding the Third Proportional to 468,347,943,971 and 631,911,341,958

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Solution

The third proportional to 468,347,943,971 and 631,911,341,958 is: 852,596,769,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,347,943,971 : 631,911,341,958 = 631,911,341,958 : x
  2. Step 2: Convert to fraction form
    468,347,943,971/631,911,341,958 = 631,911,341,958/x
  3. Step 3: Cross multiply
    468,347,943,971x = 631,911,341,958 × 631,911,341,958
  4. Step 4: Simplify right side
    468,347,943,971x = 399,311,944,095,160,405,590,016
  5. Step 5: Solve for x
    x = 399,311,944,095,160,405,590,016/468,347,943,971
  6. Step 6: Final answer
    x = 852,596,769,635.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.