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Finding the Third Proportional to 76,454,127,800 and 106,303,353,506

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Solution

The third proportional to 76,454,127,800 and 106,303,353,506 is: 147,806,315,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,454,127,800 : 106,303,353,506 = 106,303,353,506 : x
  2. Step 2: Convert to fraction form
    76,454,127,800/106,303,353,506 = 106,303,353,506/x
  3. Step 3: Cross multiply
    76,454,127,800x = 106,303,353,506 × 106,303,353,506
  4. Step 4: Simplify right side
    76,454,127,800x = 11,300,402,966,621,602,185,216
  5. Step 5: Solve for x
    x = 11,300,402,966,621,602,185,216/76,454,127,800
  6. Step 6: Final answer
    x = 147,806,315,915.12

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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.