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Finding the Third Proportional to 35,402,653.50 and 53,429,654.25

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Solution

The third proportional to 35,402,653.50 and 53,429,654.25 is: 80,635,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402,653.50 : 53,429,654.25 = 53,429,654.25 : x
  2. Step 2: Convert to fraction form
    35,402,653.50/53,429,654.25 = 53,429,654.25/x
  3. Step 3: Cross multiply
    35,402,653.50x = 53,429,654.25 × 53,429,654.25
  4. Step 4: Simplify right side
    35,402,653.50x = 2,854,727,953,274,543
  5. Step 5: Solve for x
    x = 2,854,727,953,274,543/35,402,653.50
  6. Step 6: Final answer
    x = 80,635,988.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.