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Finding the Third Proportional to 35,986,912 and 77,708,029

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Solution

The third proportional to 35,986,912 and 77,708,029 is: 167,798,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986,912 : 77,708,029 = 77,708,029 : x
  2. Step 2: Convert to fraction form
    35,986,912/77,708,029 = 77,708,029/x
  3. Step 3: Cross multiply
    35,986,912x = 77,708,029 × 77,708,029
  4. Step 4: Simplify right side
    35,986,912x = 6,038,537,771,064,841
  5. Step 5: Solve for x
    x = 6,038,537,771,064,841/35,986,912
  6. Step 6: Final answer
    x = 167,798,164.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.