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Finding the Third Proportional to 53,774,724 and 82,655,624

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Solution

The third proportional to 53,774,724 and 82,655,624 is: 127,047,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,774,724 : 82,655,624 = 82,655,624 : x
  2. Step 2: Convert to fraction form
    53,774,724/82,655,624 = 82,655,624/x
  3. Step 3: Cross multiply
    53,774,724x = 82,655,624 × 82,655,624
  4. Step 4: Simplify right side
    53,774,724x = 6,831,952,178,829,376
  5. Step 5: Solve for x
    x = 6,831,952,178,829,376/53,774,724
  6. Step 6: Final answer
    x = 127,047,647.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.