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Finding the Third Proportional to 7,445,704 and 16,209,862

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Solution

The third proportional to 7,445,704 and 16,209,862 is: 35,290,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445,704 : 16,209,862 = 16,209,862 : x
  2. Step 2: Convert to fraction form
    7,445,704/16,209,862 = 16,209,862/x
  3. Step 3: Cross multiply
    7,445,704x = 16,209,862 × 16,209,862
  4. Step 4: Simplify right side
    7,445,704x = 262,759,626,059,044
  5. Step 5: Solve for x
    x = 262,759,626,059,044/7,445,704
  6. Step 6: Final answer
    x = 35,290,098.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.