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Finding the Third Proportional to 5,097,528 and 10,785,564

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Solution

The third proportional to 5,097,528 and 10,785,564 is: 22,820,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,528 : 10,785,564 = 10,785,564 : x
  2. Step 2: Convert to fraction form
    5,097,528/10,785,564 = 10,785,564/x
  3. Step 3: Cross multiply
    5,097,528x = 10,785,564 × 10,785,564
  4. Step 4: Simplify right side
    5,097,528x = 116,328,390,798,096
  5. Step 5: Solve for x
    x = 116,328,390,798,096/5,097,528
  6. Step 6: Final answer
    x = 22,820,549.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.