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Finding the Third Proportional to 6,564,745.13 and 10,547,718.38

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Solution

The third proportional to 6,564,745.13 and 10,547,718.38 is: 16,947,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,745.13 : 10,547,718.38 = 10,547,718.38 : x
  2. Step 2: Convert to fraction form
    6,564,745.13/10,547,718.38 = 10,547,718.38/x
  3. Step 3: Cross multiply
    6,564,745.13x = 10,547,718.38 × 10,547,718.38
  4. Step 4: Simplify right side
    6,564,745.13x = 111,254,362,918,312.64
  5. Step 5: Solve for x
    x = 111,254,362,918,312.64/6,564,745.13
  6. Step 6: Final answer
    x = 16,947,247.88

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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.