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Finding the Third Proportional to 649,612,915 and 1,533,020,537

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Solution

The third proportional to 649,612,915 and 1,533,020,537 is: 3,617,772,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,612,915 : 1,533,020,537 = 1,533,020,537 : x
  2. Step 2: Convert to fraction form
    649,612,915/1,533,020,537 = 1,533,020,537/x
  3. Step 3: Cross multiply
    649,612,915x = 1,533,020,537 × 1,533,020,537
  4. Step 4: Simplify right side
    649,612,915x = 2,350,151,966,863,768,576
  5. Step 5: Solve for x
    x = 2,350,151,966,863,768,576/649,612,915
  6. Step 6: Final answer
    x = 3,617,772,849.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.