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Finding the Third Proportional to 736,235,061.75 and 1,574,506,785.38

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Solution

The third proportional to 736,235,061.75 and 1,574,506,785.38 is: 3,367,228,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,235,061.75 : 1,574,506,785.38 = 1,574,506,785.38 : x
  2. Step 2: Convert to fraction form
    736,235,061.75/1,574,506,785.38 = 1,574,506,785.38/x
  3. Step 3: Cross multiply
    736,235,061.75x = 1,574,506,785.38 × 1,574,506,785.38
  4. Step 4: Simplify right side
    736,235,061.75x = 2,479,071,617,191,916,544
  5. Step 5: Solve for x
    x = 2,479,071,617,191,916,544/736,235,061.75
  6. Step 6: Final answer
    x = 3,367,228,411.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.