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Finding the Third Proportional to 732,300,822.75 and 1,105,261,141.50

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Solution

The third proportional to 732,300,822.75 and 1,105,261,141.50 is: 1,668,169,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,300,822.75 : 1,105,261,141.50 = 1,105,261,141.50 : x
  2. Step 2: Convert to fraction form
    732,300,822.75/1,105,261,141.50 = 1,105,261,141.50/x
  3. Step 3: Cross multiply
    732,300,822.75x = 1,105,261,141.50 × 1,105,261,141.50
  4. Step 4: Simplify right side
    732,300,822.75x = 1,221,602,190,909,883,136
  5. Step 5: Solve for x
    x = 1,221,602,190,909,883,136/732,300,822.75
  6. Step 6: Final answer
    x = 1,668,169,900.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.