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Finding the Third Proportional to 336,706,152.75 and 723,538,345.50

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Solution

The third proportional to 336,706,152.75 and 723,538,345.50 is: 1,554,791,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,706,152.75 : 723,538,345.50 = 723,538,345.50 : x
  2. Step 2: Convert to fraction form
    336,706,152.75/723,538,345.50 = 723,538,345.50/x
  3. Step 3: Cross multiply
    336,706,152.75x = 723,538,345.50 × 723,538,345.50
  4. Step 4: Simplify right side
    336,706,152.75x = 523,507,737,408,877,376
  5. Step 5: Solve for x
    x = 523,507,737,408,877,376/336,706,152.75
  6. Step 6: Final answer
    x = 1,554,791,123.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.