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Finding the Third Proportional to 93,539,541,456 and 218,266,472,808

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Solution

The third proportional to 93,539,541,456 and 218,266,472,808 is: 509,306,036,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,539,541,456 : 218,266,472,808 = 218,266,472,808 : x
  2. Step 2: Convert to fraction form
    93,539,541,456/218,266,472,808 = 218,266,472,808/x
  3. Step 3: Cross multiply
    93,539,541,456x = 218,266,472,808 × 218,266,472,808
  4. Step 4: Simplify right side
    93,539,541,456x = 47,640,253,152,045,406,617,600
  5. Step 5: Solve for x
    x = 47,640,253,152,045,406,617,600/93,539,541,456
  6. Step 6: Final answer
    x = 509,306,036,896.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.