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Finding the Third Proportional to 76,454,127,912 and 106,303,353,747

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Solution

The third proportional to 76,454,127,912 and 106,303,353,747 is: 147,806,316,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,127,912 : 106,303,353,747 = 106,303,353,747 : x
  2. Step 2: Convert to fraction form
    76,454,127,912/106,303,353,747 = 106,303,353,747/x
  3. Step 3: Cross multiply
    76,454,127,912x = 106,303,353,747 × 106,303,353,747
  4. Step 4: Simplify right side
    76,454,127,912x = 11,300,403,017,859,819,634,688
  5. Step 5: Solve for x
    x = 11,300,403,017,859,819,634,688/76,454,127,912
  6. Step 6: Final answer
    x = 147,806,316,368.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.