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Finding the Third Proportional to 9,712,683 and 14,032,014

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Solution

The third proportional to 9,712,683 and 14,032,014 is: 20,272,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712,683 : 14,032,014 = 14,032,014 : x
  2. Step 2: Convert to fraction form
    9,712,683/14,032,014 = 14,032,014/x
  3. Step 3: Cross multiply
    9,712,683x = 14,032,014 × 14,032,014
  4. Step 4: Simplify right side
    9,712,683x = 196,897,416,896,196
  5. Step 5: Solve for x
    x = 196,897,416,896,196/9,712,683
  6. Step 6: Final answer
    x = 20,272,196.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.