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Finding the Third Proportional to 9,731,213 and 14,017,507

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Solution

The third proportional to 9,731,213 and 14,017,507 is: 20,191,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731,213 : 14,017,507 = 14,017,507 : x
  2. Step 2: Convert to fraction form
    9,731,213/14,017,507 = 14,017,507/x
  3. Step 3: Cross multiply
    9,731,213x = 14,017,507 × 14,017,507
  4. Step 4: Simplify right side
    9,731,213x = 196,490,502,495,049
  5. Step 5: Solve for x
    x = 196,490,502,495,049/9,731,213
  6. Step 6: Final answer
    x = 20,191,779.02

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Why These Related Problems?

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