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Finding the Third Proportional to 1,776,412,324 and 3,849,368,564

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Solution

The third proportional to 1,776,412,324 and 3,849,368,564 is: 8,341,328,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,412,324 : 3,849,368,564 = 3,849,368,564 : x
  2. Step 2: Convert to fraction form
    1,776,412,324/3,849,368,564 = 3,849,368,564/x
  3. Step 3: Cross multiply
    1,776,412,324x = 3,849,368,564 × 3,849,368,564
  4. Step 4: Simplify right side
    1,776,412,324x = 14,817,638,341,511,421,952
  5. Step 5: Solve for x
    x = 14,817,638,341,511,421,952/1,776,412,324
  6. Step 6: Final answer
    x = 8,341,328,272.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.