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Finding the Third Proportional to 10,484,534 and 22,426,690

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Solution

The third proportional to 10,484,534 and 22,426,690 is: 47,971,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484,534 : 22,426,690 = 22,426,690 : x
  2. Step 2: Convert to fraction form
    10,484,534/22,426,690 = 22,426,690/x
  3. Step 3: Cross multiply
    10,484,534x = 22,426,690 × 22,426,690
  4. Step 4: Simplify right side
    10,484,534x = 502,956,424,356,100
  5. Step 5: Solve for x
    x = 502,956,424,356,100/10,484,534
  6. Step 6: Final answer
    x = 47,971,271.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.