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Finding the Third Proportional to 4,569,773,951 and 9,950,817,294

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Solution

The third proportional to 4,569,773,951 and 9,950,817,294 is: 21,668,197,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569,773,951 : 9,950,817,294 = 9,950,817,294 : x
  2. Step 2: Convert to fraction form
    4,569,773,951/9,950,817,294 = 9,950,817,294/x
  3. Step 3: Cross multiply
    4,569,773,951x = 9,950,817,294 × 9,950,817,294
  4. Step 4: Simplify right side
    4,569,773,951x = 99,018,764,818,569,478,144
  5. Step 5: Solve for x
    x = 99,018,764,818,569,478,144/4,569,773,951
  6. Step 6: Final answer
    x = 21,668,197,569.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.