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Finding the Third Proportional to 877,256,294 and 1,926,678,412

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Solution

The third proportional to 877,256,294 and 1,926,678,412 is: 4,231,476,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,256,294 : 1,926,678,412 = 1,926,678,412 : x
  2. Step 2: Convert to fraction form
    877,256,294/1,926,678,412 = 1,926,678,412/x
  3. Step 3: Cross multiply
    877,256,294x = 1,926,678,412 × 1,926,678,412
  4. Step 4: Simplify right side
    877,256,294x = 3,712,089,703,266,841,600
  5. Step 5: Solve for x
    x = 3,712,089,703,266,841,600/877,256,294
  6. Step 6: Final answer
    x = 4,231,476,854.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.