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Finding the Third Proportional to 7,669,575 and 16,712,046

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Solution

The third proportional to 7,669,575 and 16,712,046 is: 36,415,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,575 : 16,712,046 = 16,712,046 : x
  2. Step 2: Convert to fraction form
    7,669,575/16,712,046 = 16,712,046/x
  3. Step 3: Cross multiply
    7,669,575x = 16,712,046 × 16,712,046
  4. Step 4: Simplify right side
    7,669,575x = 279,292,481,506,116
  5. Step 5: Solve for x
    x = 279,292,481,506,116/7,669,575
  6. Step 6: Final answer
    x = 36,415,639.92

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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.