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Finding the Third Proportional to 6,931,526 and 15,456,835

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Solution

The third proportional to 6,931,526 and 15,456,835 is: 34,467,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,526 : 15,456,835 = 15,456,835 : x
  2. Step 2: Convert to fraction form
    6,931,526/15,456,835 = 15,456,835/x
  3. Step 3: Cross multiply
    6,931,526x = 15,456,835 × 15,456,835
  4. Step 4: Simplify right side
    6,931,526x = 238,913,748,217,225
  5. Step 5: Solve for x
    x = 238,913,748,217,225/6,931,526
  6. Step 6: Final answer
    x = 34,467,698.49

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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.