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Finding the Third Proportional to 877,986,783.50 and 1,292,729,027.50

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Solution

The third proportional to 877,986,783.50 and 1,292,729,027.50 is: 1,903,386,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,986,783.50 : 1,292,729,027.50 = 1,292,729,027.50 : x
  2. Step 2: Convert to fraction form
    877,986,783.50/1,292,729,027.50 = 1,292,729,027.50/x
  3. Step 3: Cross multiply
    877,986,783.50x = 1,292,729,027.50 × 1,292,729,027.50
  4. Step 4: Simplify right side
    877,986,783.50x = 1,671,148,338,541,095,680
  5. Step 5: Solve for x
    x = 1,671,148,338,541,095,680/877,986,783.50
  6. Step 6: Final answer
    x = 1,903,386,668.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.