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Finding the Third Proportional to 459,918,838,450 and 1,000,823,686,552

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Solution

The third proportional to 459,918,838,450 and 1,000,823,686,552 is: 2,177,880,025,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,918,838,450 : 1,000,823,686,552 = 1,000,823,686,552 : x
  2. Step 2: Convert to fraction form
    459,918,838,450/1,000,823,686,552 = 1,000,823,686,552/x
  3. Step 3: Cross multiply
    459,918,838,450x = 1,000,823,686,552 × 1,000,823,686,552
  4. Step 4: Simplify right side
    459,918,838,450x = 1,001,648,051,563,535,943,073,792
  5. Step 5: Solve for x
    x = 1,001,648,051,563,535,943,073,792/459,918,838,450
  6. Step 6: Final answer
    x = 2,177,880,025,395.89

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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.