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Finding the Third Proportional to 4,553,316 and 9,696,537

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Solution

The third proportional to 4,553,316 and 9,696,537 is: 20,649,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553,316 : 9,696,537 = 9,696,537 : x
  2. Step 2: Convert to fraction form
    4,553,316/9,696,537 = 9,696,537/x
  3. Step 3: Cross multiply
    4,553,316x = 9,696,537 × 9,696,537
  4. Step 4: Simplify right side
    4,553,316x = 94,022,829,792,369
  5. Step 5: Solve for x
    x = 94,022,829,792,369/4,553,316
  6. Step 6: Final answer
    x = 20,649,309.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.