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Finding the Third Proportional to 1,412,030,732 and 3,078,306,440

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Solution

The third proportional to 1,412,030,732 and 3,078,306,440 is: 6,710,881,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,030,732 : 3,078,306,440 = 3,078,306,440 : x
  2. Step 2: Convert to fraction form
    1,412,030,732/3,078,306,440 = 3,078,306,440/x
  3. Step 3: Cross multiply
    1,412,030,732x = 3,078,306,440 × 3,078,306,440
  4. Step 4: Simplify right side
    1,412,030,732x = 9,475,970,538,545,473,536
  5. Step 5: Solve for x
    x = 9,475,970,538,545,473,536/1,412,030,732
  6. Step 6: Final answer
    x = 6,710,881,232.11

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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.