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Finding the Third Proportional to 37,985,130 and 77,312,718

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Solution

The third proportional to 37,985,130 and 77,312,718 is: 157,357,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,985,130 : 77,312,718 = 77,312,718 : x
  2. Step 2: Convert to fraction form
    37,985,130/77,312,718 = 77,312,718/x
  3. Step 3: Cross multiply
    37,985,130x = 77,312,718 × 77,312,718
  4. Step 4: Simplify right side
    37,985,130x = 5,977,256,364,547,524
  5. Step 5: Solve for x
    x = 5,977,256,364,547,524/37,985,130
  6. Step 6: Final answer
    x = 157,357,796.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.