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Finding the Third Proportional to 10,367,020 and 22,623,547

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Solution

The third proportional to 10,367,020 and 22,623,547 is: 49,370,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,020 : 22,623,547 = 22,623,547 : x
  2. Step 2: Convert to fraction form
    10,367,020/22,623,547 = 22,623,547/x
  3. Step 3: Cross multiply
    10,367,020x = 22,623,547 × 22,623,547
  4. Step 4: Simplify right side
    10,367,020x = 511,824,878,861,209
  5. Step 5: Solve for x
    x = 511,824,878,861,209/10,367,020
  6. Step 6: Final answer
    x = 49,370,492.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.