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Finding the Third Proportional to 6,076,335.66 and 9,317,459.11

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Solution

The third proportional to 6,076,335.66 and 9,317,459.11 is: 14,287,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076,335.66 : 9,317,459.11 = 9,317,459.11 : x
  2. Step 2: Convert to fraction form
    6,076,335.66/9,317,459.11 = 9,317,459.11/x
  3. Step 3: Cross multiply
    6,076,335.66x = 9,317,459.11 × 9,317,459.11
  4. Step 4: Simplify right side
    6,076,335.66x = 86,815,044,254,875.17
  5. Step 5: Solve for x
    x = 86,815,044,254,875.17/6,076,335.66
  6. Step 6: Final answer
    x = 14,287,401.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.