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Finding the Third Proportional to 4,843,411,753 and 7,581,262,241

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Solution

The third proportional to 4,843,411,753 and 7,581,262,241 is: 11,866,746,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843,411,753 : 7,581,262,241 = 7,581,262,241 : x
  2. Step 2: Convert to fraction form
    4,843,411,753/7,581,262,241 = 7,581,262,241/x
  3. Step 3: Cross multiply
    4,843,411,753x = 7,581,262,241 × 7,581,262,241
  4. Step 4: Simplify right side
    4,843,411,753x = 57,475,537,166,812,340,224
  5. Step 5: Solve for x
    x = 57,475,537,166,812,340,224/4,843,411,753
  6. Step 6: Final answer
    x = 11,866,746,024.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.