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Finding the Third Proportional to 29,752,814 and 45,975,681

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Solution

The third proportional to 29,752,814 and 45,975,681 is: 71,044,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,752,814 : 45,975,681 = 45,975,681 : x
  2. Step 2: Convert to fraction form
    29,752,814/45,975,681 = 45,975,681/x
  3. Step 3: Cross multiply
    29,752,814x = 45,975,681 × 45,975,681
  4. Step 4: Simplify right side
    29,752,814x = 2,113,763,243,413,761
  5. Step 5: Solve for x
    x = 2,113,763,243,413,761/29,752,814
  6. Step 6: Final answer
    x = 71,044,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.