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Finding the Third Proportional to 42,748,575 and 86,686,679

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Solution

The third proportional to 42,748,575 and 86,686,679 is: 175,785,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,748,575 : 86,686,679 = 86,686,679 : x
  2. Step 2: Convert to fraction form
    42,748,575/86,686,679 = 86,686,679/x
  3. Step 3: Cross multiply
    42,748,575x = 86,686,679 × 86,686,679
  4. Step 4: Simplify right side
    42,748,575x = 7,514,580,316,049,041
  5. Step 5: Solve for x
    x = 7,514,580,316,049,041/42,748,575
  6. Step 6: Final answer
    x = 175,785,516.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.