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Finding the Third Proportional to 10,443,648,294 and 22,541,191,290

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Solution

The third proportional to 10,443,648,294 and 22,541,191,290 is: 48,652,088,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443,648,294 : 22,541,191,290 = 22,541,191,290 : x
  2. Step 2: Convert to fraction form
    10,443,648,294/22,541,191,290 = 22,541,191,290/x
  3. Step 3: Cross multiply
    10,443,648,294x = 22,541,191,290 × 22,541,191,290
  4. Step 4: Simplify right side
    10,443,648,294x = 508,105,304,772,371,873,792
  5. Step 5: Solve for x
    x = 508,105,304,772,371,873,792/10,443,648,294
  6. Step 6: Final answer
    x = 48,652,088,855.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.