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Finding the Third Proportional to 10,492,710.57 and 22,579,744.15

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Solution

The third proportional to 10,492,710.57 and 22,579,744.15 is: 48,590,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492,710.57 : 22,579,744.15 = 22,579,744.15 : x
  2. Step 2: Convert to fraction form
    10,492,710.57/22,579,744.15 = 22,579,744.15/x
  3. Step 3: Cross multiply
    10,492,710.57x = 22,579,744.15 × 22,579,744.15
  4. Step 4: Simplify right side
    10,492,710.57x = 509,844,845,808,920.06
  5. Step 5: Solve for x
    x = 509,844,845,808,920.06/10,492,710.57
  6. Step 6: Final answer
    x = 48,590,384.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.