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Finding the Third Proportional to 4,849,593.75 and 7,607,547

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Solution

The third proportional to 4,849,593.75 and 7,607,547 is: 11,933,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849,593.75 : 7,607,547 = 7,607,547 : x
  2. Step 2: Convert to fraction form
    4,849,593.75/7,607,547 = 7,607,547/x
  3. Step 3: Cross multiply
    4,849,593.75x = 7,607,547 × 7,607,547
  4. Step 4: Simplify right side
    4,849,593.75x = 57,874,771,357,209
  5. Step 5: Solve for x
    x = 57,874,771,357,209/4,849,593.75
  6. Step 6: Final answer
    x = 11,933,942.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.