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Finding the Third Proportional to 61,674,328.13 and 137,135,095.88

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Solution

The third proportional to 61,674,328.13 and 137,135,095.88 is: 304,924,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,674,328.13 : 137,135,095.88 = 137,135,095.88 : x
  2. Step 2: Convert to fraction form
    61,674,328.13/137,135,095.88 = 137,135,095.88/x
  3. Step 3: Cross multiply
    61,674,328.13x = 137,135,095.88 × 137,135,095.88
  4. Step 4: Simplify right side
    61,674,328.13x = 18,806,034,520,645,444
  5. Step 5: Solve for x
    x = 18,806,034,520,645,444/61,674,328.13
  6. Step 6: Final answer
    x = 304,924,838.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.