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Finding the Third Proportional to 35,098,608 and 78,262,944

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Solution

The third proportional to 35,098,608 and 78,262,944 is: 174,510,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098,608 : 78,262,944 = 78,262,944 : x
  2. Step 2: Convert to fraction form
    35,098,608/78,262,944 = 78,262,944/x
  3. Step 3: Cross multiply
    35,098,608x = 78,262,944 × 78,262,944
  4. Step 4: Simplify right side
    35,098,608x = 6,125,088,403,547,136
  5. Step 5: Solve for x
    x = 6,125,088,403,547,136/35,098,608
  6. Step 6: Final answer
    x = 174,510,863.89

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.