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Finding the Third Proportional to 29,845,998 and 64,946,693.25

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Solution

The third proportional to 29,845,998 and 64,946,693.25 is: 141,327,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,845,998 : 64,946,693.25 = 64,946,693.25 : x
  2. Step 2: Convert to fraction form
    29,845,998/64,946,693.25 = 64,946,693.25/x
  3. Step 3: Cross multiply
    29,845,998x = 64,946,693.25 × 64,946,693.25
  4. Step 4: Simplify right side
    29,845,998x = 4,218,072,964,109,595.50
  5. Step 5: Solve for x
    x = 4,218,072,964,109,595.50/29,845,998
  6. Step 6: Final answer
    x = 141,327,924.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.