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Finding the Third Proportional to 6,237,768 and 9,402,732

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Solution

The third proportional to 6,237,768 and 9,402,732 is: 14,173,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237,768 : 9,402,732 = 9,402,732 : x
  2. Step 2: Convert to fraction form
    6,237,768/9,402,732 = 9,402,732/x
  3. Step 3: Cross multiply
    6,237,768x = 9,402,732 × 9,402,732
  4. Step 4: Simplify right side
    6,237,768x = 88,411,369,063,824
  5. Step 5: Solve for x
    x = 88,411,369,063,824/6,237,768
  6. Step 6: Final answer
    x = 14,173,558.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.