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Finding the Third Proportional to 409,710,223.13 and 901,141,957.13

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Solution

The third proportional to 409,710,223.13 and 901,141,957.13 is: 1,982,027,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,710,223.13 : 901,141,957.13 = 901,141,957.13 : x
  2. Step 2: Convert to fraction form
    409,710,223.13/901,141,957.13 = 901,141,957.13/x
  3. Step 3: Cross multiply
    409,710,223.13x = 901,141,957.13 × 901,141,957.13
  4. Step 4: Simplify right side
    409,710,223.13x = 812,056,826,891,075,328
  5. Step 5: Solve for x
    x = 812,056,826,891,075,328/409,710,223.13
  6. Step 6: Final answer
    x = 1,982,027,250.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.