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Finding the Third Proportional to 9,258,998.63 and 13,754,407.50

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Solution

The third proportional to 9,258,998.63 and 13,754,407.50 is: 20,432,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258,998.63 : 13,754,407.50 = 13,754,407.50 : x
  2. Step 2: Convert to fraction form
    9,258,998.63/13,754,407.50 = 13,754,407.50/x
  3. Step 3: Cross multiply
    9,258,998.63x = 13,754,407.50 × 13,754,407.50
  4. Step 4: Simplify right side
    9,258,998.63x = 189,183,725,676,056.25
  5. Step 5: Solve for x
    x = 189,183,725,676,056.25/9,258,998.63
  6. Step 6: Final answer
    x = 20,432,417.51

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Why These Related Problems?

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