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Finding the Third Proportional to 33,140,369,582 and 72,696,885,386

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Solution

The third proportional to 33,140,369,582 and 72,696,885,386 is: 159,468,262,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,369,582 : 72,696,885,386 = 72,696,885,386 : x
  2. Step 2: Convert to fraction form
    33,140,369,582/72,696,885,386 = 72,696,885,386/x
  3. Step 3: Cross multiply
    33,140,369,582x = 72,696,885,386 × 72,696,885,386
  4. Step 4: Simplify right side
    33,140,369,582x = 5,284,837,144,825,220,300,800
  5. Step 5: Solve for x
    x = 5,284,837,144,825,220,300,800/33,140,369,582
  6. Step 6: Final answer
    x = 159,468,262,167.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.