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Finding the Third Proportional to 31,148,750,830,260 and 45,790,045,516,620

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Solution

The third proportional to 31,148,750,830,260 and 45,790,045,516,620 is: 67,313,398,211,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148,750,830,260 : 45,790,045,516,620 = 45,790,045,516,620 : x
  2. Step 2: Convert to fraction form
    31,148,750,830,260/45,790,045,516,620 = 45,790,045,516,620/x
  3. Step 3: Cross multiply
    31,148,750,830,260x = 45,790,045,516,620 × 45,790,045,516,620
  4. Step 4: Simplify right side
    31,148,750,830,260x = 2,096,728,268,414,131,490,479,144,960
  5. Step 5: Solve for x
    x = 2,096,728,268,414,131,490,479,144,960/31,148,750,830,260
  6. Step 6: Final answer
    x = 67,313,398,211,052.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.