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Finding the Third Proportional to 322,079,359,056 and 480,326,003,328

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Solution

The third proportional to 322,079,359,056 and 480,326,003,328 is: 716,323,672,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,079,359,056 : 480,326,003,328 = 480,326,003,328 : x
  2. Step 2: Convert to fraction form
    322,079,359,056/480,326,003,328 = 480,326,003,328/x
  3. Step 3: Cross multiply
    322,079,359,056x = 480,326,003,328 × 480,326,003,328
  4. Step 4: Simplify right side
    322,079,359,056x = 230,713,069,473,049,866,141,696
  5. Step 5: Solve for x
    x = 230,713,069,473,049,866,141,696/322,079,359,056
  6. Step 6: Final answer
    x = 716,323,672,989.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.