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Finding the Third Proportional to 14,029,413,890 and 30,528,569,726

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Solution

The third proportional to 14,029,413,890 and 30,528,569,726 is: 66,431,397,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029,413,890 : 30,528,569,726 = 30,528,569,726 : x
  2. Step 2: Convert to fraction form
    14,029,413,890/30,528,569,726 = 30,528,569,726/x
  3. Step 3: Cross multiply
    14,029,413,890x = 30,528,569,726 × 30,528,569,726
  4. Step 4: Simplify right side
    14,029,413,890x = 931,993,569,515,243,700,224
  5. Step 5: Solve for x
    x = 931,993,569,515,243,700,224/14,029,413,890
  6. Step 6: Final answer
    x = 66,431,397,407.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.