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Finding the Third Proportional to 7,098,730 and 11,590,359

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Solution

The third proportional to 7,098,730 and 11,590,359 is: 18,924,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098,730 : 11,590,359 = 11,590,359 : x
  2. Step 2: Convert to fraction form
    7,098,730/11,590,359 = 11,590,359/x
  3. Step 3: Cross multiply
    7,098,730x = 11,590,359 × 11,590,359
  4. Step 4: Simplify right side
    7,098,730x = 134,336,421,748,881
  5. Step 5: Solve for x
    x = 134,336,421,748,881/7,098,730
  6. Step 6: Final answer
    x = 18,924,007.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.