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Finding the Third Proportional to 750,370,948 and 1,653,402,488

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Solution

The third proportional to 750,370,948 and 1,653,402,488 is: 3,643,184,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,370,948 : 1,653,402,488 = 1,653,402,488 : x
  2. Step 2: Convert to fraction form
    750,370,948/1,653,402,488 = 1,653,402,488/x
  3. Step 3: Cross multiply
    750,370,948x = 1,653,402,488 × 1,653,402,488
  4. Step 4: Simplify right side
    750,370,948x = 2,733,739,787,324,590,080
  5. Step 5: Solve for x
    x = 2,733,739,787,324,590,080/750,370,948
  6. Step 6: Final answer
    x = 3,643,184,473.77

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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.