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Finding the Third Proportional to 5,836,258 and 9,323,547

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Solution

The third proportional to 5,836,258 and 9,323,547 is: 14,894,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836,258 : 9,323,547 = 9,323,547 : x
  2. Step 2: Convert to fraction form
    5,836,258/9,323,547 = 9,323,547/x
  3. Step 3: Cross multiply
    5,836,258x = 9,323,547 × 9,323,547
  4. Step 4: Simplify right side
    5,836,258x = 86,928,528,661,209
  5. Step 5: Solve for x
    x = 86,928,528,661,209/5,836,258
  6. Step 6: Final answer
    x = 14,894,565.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.