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Finding the Third Proportional to 4,808,412 and 7,488,342

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Solution

The third proportional to 4,808,412 and 7,488,342 is: 11,661,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808,412 : 7,488,342 = 7,488,342 : x
  2. Step 2: Convert to fraction form
    4,808,412/7,488,342 = 7,488,342/x
  3. Step 3: Cross multiply
    4,808,412x = 7,488,342 × 7,488,342
  4. Step 4: Simplify right side
    4,808,412x = 56,075,265,908,964
  5. Step 5: Solve for x
    x = 56,075,265,908,964/4,808,412
  6. Step 6: Final answer
    x = 11,661,909.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.