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Finding the Third Proportional to 10,613,980 and 22,742,460

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Solution

The third proportional to 10,613,980 and 22,742,460 is: 48,730,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613,980 : 22,742,460 = 22,742,460 : x
  2. Step 2: Convert to fraction form
    10,613,980/22,742,460 = 22,742,460/x
  3. Step 3: Cross multiply
    10,613,980x = 22,742,460 × 22,742,460
  4. Step 4: Simplify right side
    10,613,980x = 517,219,486,851,600
  5. Step 5: Solve for x
    x = 517,219,486,851,600/10,613,980
  6. Step 6: Final answer
    x = 48,730,022.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.