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Finding the Third Proportional to 9,307,776,108 and 14,817,671,294

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Solution

The third proportional to 9,307,776,108 and 14,817,671,294 is: 23,589,241,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307,776,108 : 14,817,671,294 = 14,817,671,294 : x
  2. Step 2: Convert to fraction form
    9,307,776,108/14,817,671,294 = 14,817,671,294/x
  3. Step 3: Cross multiply
    9,307,776,108x = 14,817,671,294 × 14,817,671,294
  4. Step 4: Simplify right side
    9,307,776,108x = 219,563,382,577,031,643,136
  5. Step 5: Solve for x
    x = 219,563,382,577,031,643,136/9,307,776,108
  6. Step 6: Final answer
    x = 23,589,241,944.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.