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Finding the Third Proportional to 29,489,946 and 64,648,623

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Solution

The third proportional to 29,489,946 and 64,648,623 is: 141,724,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489,946 : 64,648,623 = 64,648,623 : x
  2. Step 2: Convert to fraction form
    29,489,946/64,648,623 = 64,648,623/x
  3. Step 3: Cross multiply
    29,489,946x = 64,648,623 × 64,648,623
  4. Step 4: Simplify right side
    29,489,946x = 4,179,444,455,796,129
  5. Step 5: Solve for x
    x = 4,179,444,455,796,129/29,489,946
  6. Step 6: Final answer
    x = 141,724,384.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.