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Finding the Third Proportional to 524,243,553 and 813,988,053

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Solution

The third proportional to 524,243,553 and 813,988,053 is: 1,263,871,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,243,553 : 813,988,053 = 813,988,053 : x
  2. Step 2: Convert to fraction form
    524,243,553/813,988,053 = 813,988,053/x
  3. Step 3: Cross multiply
    524,243,553x = 813,988,053 × 813,988,053
  4. Step 4: Simplify right side
    524,243,553x = 662,576,550,426,730,752
  5. Step 5: Solve for x
    x = 662,576,550,426,730,752/524,243,553
  6. Step 6: Final answer
    x = 1,263,871,623.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.