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Finding the Third Proportional to 14,301,912 and 31,277,653.50

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Solution

The third proportional to 14,301,912 and 31,277,653.50 is: 68,402,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301,912 : 31,277,653.50 = 31,277,653.50 : x
  2. Step 2: Convert to fraction form
    14,301,912/31,277,653.50 = 31,277,653.50/x
  3. Step 3: Cross multiply
    14,301,912x = 31,277,653.50 × 31,277,653.50
  4. Step 4: Simplify right side
    14,301,912x = 978,291,608,466,062.25
  5. Step 5: Solve for x
    x = 978,291,608,466,062.25/14,301,912
  6. Step 6: Final answer
    x = 68,402,854.70

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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.