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Finding the Third Proportional to 6,858,113 and 14,748,490

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Solution

The third proportional to 6,858,113 and 14,748,490 is: 31,716,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858,113 : 14,748,490 = 14,748,490 : x
  2. Step 2: Convert to fraction form
    6,858,113/14,748,490 = 14,748,490/x
  3. Step 3: Cross multiply
    6,858,113x = 14,748,490 × 14,748,490
  4. Step 4: Simplify right side
    6,858,113x = 217,517,957,280,100
  5. Step 5: Solve for x
    x = 217,517,957,280,100/6,858,113
  6. Step 6: Final answer
    x = 31,716,881.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.