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Finding the Third Proportional to 29,646,270 and 64,241,046

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Solution

The third proportional to 29,646,270 and 64,241,046 is: 139,205,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646,270 : 64,241,046 = 64,241,046 : x
  2. Step 2: Convert to fraction form
    29,646,270/64,241,046 = 64,241,046/x
  3. Step 3: Cross multiply
    29,646,270x = 64,241,046 × 64,241,046
  4. Step 4: Simplify right side
    29,646,270x = 4,126,911,991,174,116
  5. Step 5: Solve for x
    x = 4,126,911,991,174,116/29,646,270
  6. Step 6: Final answer
    x = 139,205,100.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.