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Finding the Third Proportional to 10,435,798 and 22,724,258

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Solution

The third proportional to 10,435,798 and 22,724,258 is: 49,482,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435,798 : 22,724,258 = 22,724,258 : x
  2. Step 2: Convert to fraction form
    10,435,798/22,724,258 = 22,724,258/x
  3. Step 3: Cross multiply
    10,435,798x = 22,724,258 × 22,724,258
  4. Step 4: Simplify right side
    10,435,798x = 516,391,901,650,564
  5. Step 5: Solve for x
    x = 516,391,901,650,564/10,435,798
  6. Step 6: Final answer
    x = 49,482,742.16

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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.