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Finding the Third Proportional to 370,092,564 and 812,817,574.50

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Solution

The third proportional to 370,092,564 and 812,817,574.50 is: 1,785,154,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,092,564 : 812,817,574.50 = 812,817,574.50 : x
  2. Step 2: Convert to fraction form
    370,092,564/812,817,574.50 = 812,817,574.50/x
  3. Step 3: Cross multiply
    370,092,564x = 812,817,574.50 × 812,817,574.50
  4. Step 4: Simplify right side
    370,092,564x = 660,672,409,416,063,104
  5. Step 5: Solve for x
    x = 660,672,409,416,063,104/370,092,564
  6. Step 6: Final answer
    x = 1,785,154,509.12

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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.