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Finding the Third Proportional to 6,564,503 and 10,547,397

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Solution

The third proportional to 6,564,503 and 10,547,397 is: 16,946,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,503 : 10,547,397 = 10,547,397 : x
  2. Step 2: Convert to fraction form
    6,564,503/10,547,397 = 10,547,397/x
  3. Step 3: Cross multiply
    6,564,503x = 10,547,397 × 10,547,397
  4. Step 4: Simplify right side
    6,564,503x = 111,247,583,475,609
  5. Step 5: Solve for x
    x = 111,247,583,475,609/6,564,503
  6. Step 6: Final answer
    x = 16,946,840.22

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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.