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Finding the Third Proportional to 10,865,718 and 14,704,209

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Solution

The third proportional to 10,865,718 and 14,704,209 is: 19,898,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,718 : 14,704,209 = 14,704,209 : x
  2. Step 2: Convert to fraction form
    10,865,718/14,704,209 = 14,704,209/x
  3. Step 3: Cross multiply
    10,865,718x = 14,704,209 × 14,704,209
  4. Step 4: Simplify right side
    10,865,718x = 216,213,762,315,681
  5. Step 5: Solve for x
    x = 216,213,762,315,681/10,865,718
  6. Step 6: Final answer
    x = 19,898,709.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.