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Finding the Third Proportional to 370,186,746.75 and 575,047,684.13

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Solution

The third proportional to 370,186,746.75 and 575,047,684.13 is: 893,278,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,186,746.75 : 575,047,684.13 = 575,047,684.13 : x
  2. Step 2: Convert to fraction form
    370,186,746.75/575,047,684.13 = 575,047,684.13/x
  3. Step 3: Cross multiply
    370,186,746.75x = 575,047,684.13 × 575,047,684.13
  4. Step 4: Simplify right side
    370,186,746.75x = 330,679,839,017,525,760
  5. Step 5: Solve for x
    x = 330,679,839,017,525,760/370,186,746.75
  6. Step 6: Final answer
    x = 893,278,438.30

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