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Finding the Third Proportional to 6,506,393.34 and 14,132,838.23

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Solution

The third proportional to 6,506,393.34 and 14,132,838.23 is: 30,698,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,393.34 : 14,132,838.23 = 14,132,838.23 : x
  2. Step 2: Convert to fraction form
    6,506,393.34/14,132,838.23 = 14,132,838.23/x
  3. Step 3: Cross multiply
    6,506,393.34x = 14,132,838.23 × 14,132,838.23
  4. Step 4: Simplify right side
    6,506,393.34x = 199,737,116,559,011.88
  5. Step 5: Solve for x
    x = 199,737,116,559,011.88/6,506,393.34
  6. Step 6: Final answer
    x = 30,698,592.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.