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Finding the Third Proportional to 6,564,928 and 10,547,997

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Solution

The third proportional to 6,564,928 and 10,547,997 is: 16,947,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,928 : 10,547,997 = 10,547,997 : x
  2. Step 2: Convert to fraction form
    6,564,928/10,547,997 = 10,547,997/x
  3. Step 3: Cross multiply
    6,564,928x = 10,547,997 × 10,547,997
  4. Step 4: Simplify right side
    6,564,928x = 111,260,240,712,009
  5. Step 5: Solve for x
    x = 111,260,240,712,009/6,564,928
  6. Step 6: Final answer
    x = 16,947,671.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.