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Finding the Third Proportional to 14,402,076 and 33,997,468

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Solution

The third proportional to 14,402,076 and 33,997,468 is: 80,254,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402,076 : 33,997,468 = 33,997,468 : x
  2. Step 2: Convert to fraction form
    14,402,076/33,997,468 = 33,997,468/x
  3. Step 3: Cross multiply
    14,402,076x = 33,997,468 × 33,997,468
  4. Step 4: Simplify right side
    14,402,076x = 1,155,827,830,411,024
  5. Step 5: Solve for x
    x = 1,155,827,830,411,024/14,402,076
  6. Step 6: Final answer
    x = 80,254,251.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.