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Finding the Third Proportional to 589,607,617.50 and 924,840,307.69

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Solution

The third proportional to 589,607,617.50 and 924,840,307.69 is: 1,450,675,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,607,617.50 : 924,840,307.69 = 924,840,307.69 : x
  2. Step 2: Convert to fraction form
    589,607,617.50/924,840,307.69 = 924,840,307.69/x
  3. Step 3: Cross multiply
    589,607,617.50x = 924,840,307.69 × 924,840,307.69
  4. Step 4: Simplify right side
    589,607,617.50x = 855,329,594,723,509,632
  5. Step 5: Solve for x
    x = 855,329,594,723,509,632/589,607,617.50
  6. Step 6: Final answer
    x = 1,450,675,956.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.