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Finding the Third Proportional to 6,688,575 and 14,658,732

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Solution

The third proportional to 6,688,575 and 14,658,732 is: 32,126,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688,575 : 14,658,732 = 14,658,732 : x
  2. Step 2: Convert to fraction form
    6,688,575/14,658,732 = 14,658,732/x
  3. Step 3: Cross multiply
    6,688,575x = 14,658,732 × 14,658,732
  4. Step 4: Simplify right side
    6,688,575x = 214,878,423,847,824
  5. Step 5: Solve for x
    x = 214,878,423,847,824/6,688,575
  6. Step 6: Final answer
    x = 32,126,188.89

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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.