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Finding the Third Proportional to 42,401,898,052 and 62,784,152,011

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Solution

The third proportional to 42,401,898,052 and 62,784,152,011 is: 92,963,992,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,401,898,052 : 62,784,152,011 = 62,784,152,011 : x
  2. Step 2: Convert to fraction form
    42,401,898,052/62,784,152,011 = 62,784,152,011/x
  3. Step 3: Cross multiply
    42,401,898,052x = 62,784,152,011 × 62,784,152,011
  4. Step 4: Simplify right side
    42,401,898,052x = 3,941,849,743,740,355,215,360
  5. Step 5: Solve for x
    x = 3,941,849,743,740,355,215,360/42,401,898,052
  6. Step 6: Final answer
    x = 92,963,992,765.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.