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Finding the Third Proportional to 29,271,747,916 and 39,494,460,959

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Solution

The third proportional to 29,271,747,916 and 39,494,460,959 is: 53,287,301,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,271,747,916 : 39,494,460,959 = 39,494,460,959 : x
  2. Step 2: Convert to fraction form
    29,271,747,916/39,494,460,959 = 39,494,460,959/x
  3. Step 3: Cross multiply
    29,271,747,916x = 39,494,460,959 × 39,494,460,959
  4. Step 4: Simplify right side
    29,271,747,916x = 1,559,812,446,441,975,316,480
  5. Step 5: Solve for x
    x = 1,559,812,446,441,975,316,480/29,271,747,916
  6. Step 6: Final answer
    x = 53,287,301,151.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.