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Finding the Third Proportional to 35,146,607 and 76,338,352

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Solution

The third proportional to 35,146,607 and 76,338,352 is: 165,806,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,146,607 : 76,338,352 = 76,338,352 : x
  2. Step 2: Convert to fraction form
    35,146,607/76,338,352 = 76,338,352/x
  3. Step 3: Cross multiply
    35,146,607x = 76,338,352 × 76,338,352
  4. Step 4: Simplify right side
    35,146,607x = 5,827,543,986,075,904
  5. Step 5: Solve for x
    x = 5,827,543,986,075,904/35,146,607
  6. Step 6: Final answer
    x = 165,806,730.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.