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Finding the Third Proportional to 45,437,580 and 97,803,576

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Solution

The third proportional to 45,437,580 and 97,803,576 is: 210,520,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437,580 : 97,803,576 = 97,803,576 : x
  2. Step 2: Convert to fraction form
    45,437,580/97,803,576 = 97,803,576/x
  3. Step 3: Cross multiply
    45,437,580x = 97,803,576 × 97,803,576
  4. Step 4: Simplify right side
    45,437,580x = 9,565,539,478,387,776
  5. Step 5: Solve for x
    x = 9,565,539,478,387,776/45,437,580
  6. Step 6: Final answer
    x = 210,520,443.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.