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Finding the Third Proportional to 35,762,127.75 and 77,241,346.88

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Solution

The third proportional to 35,762,127.75 and 77,241,346.88 is: 166,830,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762,127.75 : 77,241,346.88 = 77,241,346.88 : x
  2. Step 2: Convert to fraction form
    35,762,127.75/77,241,346.88 = 77,241,346.88/x
  3. Step 3: Cross multiply
    35,762,127.75x = 77,241,346.88 × 77,241,346.88
  4. Step 4: Simplify right side
    35,762,127.75x = 5,966,225,667,064,072
  5. Step 5: Solve for x
    x = 5,966,225,667,064,072/35,762,127.75
  6. Step 6: Final answer
    x = 166,830,835.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.