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Finding the Third Proportional to 29,941,020 and 64,963,953

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Solution

The third proportional to 29,941,020 and 64,963,953 is: 140,954,289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,941,020 : 64,963,953 = 64,963,953 : x
  2. Step 2: Convert to fraction form
    29,941,020/64,963,953 = 64,963,953/x
  3. Step 3: Cross multiply
    29,941,020x = 64,963,953 × 64,963,953
  4. Step 4: Simplify right side
    29,941,020x = 4,220,315,189,386,209
  5. Step 5: Solve for x
    x = 4,220,315,189,386,209/29,941,020
  6. Step 6: Final answer
    x = 140,954,289.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.