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Finding the Third Proportional to 6,931,528 and 15,456,838

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Solution

The third proportional to 6,931,528 and 15,456,838 is: 34,467,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,528 : 15,456,838 = 15,456,838 : x
  2. Step 2: Convert to fraction form
    6,931,528/15,456,838 = 15,456,838/x
  3. Step 3: Cross multiply
    6,931,528x = 15,456,838 × 15,456,838
  4. Step 4: Simplify right side
    6,931,528x = 238,913,840,958,244
  5. Step 5: Solve for x
    x = 238,913,840,958,244/6,931,528
  6. Step 6: Final answer
    x = 34,467,701.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.