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Finding the Third Proportional to 6,780,547 and 10,233,875.75

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Solution

The third proportional to 6,780,547 and 10,233,875.75 is: 15,445,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780,547 : 10,233,875.75 = 10,233,875.75 : x
  2. Step 2: Convert to fraction form
    6,780,547/10,233,875.75 = 10,233,875.75/x
  3. Step 3: Cross multiply
    6,780,547x = 10,233,875.75 × 10,233,875.75
  4. Step 4: Simplify right side
    6,780,547x = 104,732,212,866,438.06
  5. Step 5: Solve for x
    x = 104,732,212,866,438.06/6,780,547
  6. Step 6: Final answer
    x = 15,445,982.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.