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Finding the Third Proportional to 31,931,323 and 69,907,784

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Solution

The third proportional to 31,931,323 and 69,907,784 is: 153,050,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931,323 : 69,907,784 = 69,907,784 : x
  2. Step 2: Convert to fraction form
    31,931,323/69,907,784 = 69,907,784/x
  3. Step 3: Cross multiply
    31,931,323x = 69,907,784 × 69,907,784
  4. Step 4: Simplify right side
    31,931,323x = 4,887,098,263,790,656
  5. Step 5: Solve for x
    x = 4,887,098,263,790,656/31,931,323
  6. Step 6: Final answer
    x = 153,050,290.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.