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Finding the Third Proportional to 7,525,818 and 16,513,281

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Solution

The third proportional to 7,525,818 and 16,513,281 is: 36,233,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525,818 : 16,513,281 = 16,513,281 : x
  2. Step 2: Convert to fraction form
    7,525,818/16,513,281 = 16,513,281/x
  3. Step 3: Cross multiply
    7,525,818x = 16,513,281 × 16,513,281
  4. Step 4: Simplify right side
    7,525,818x = 272,688,449,384,961
  5. Step 5: Solve for x
    x = 272,688,449,384,961/7,525,818
  6. Step 6: Final answer
    x = 36,233,728.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.