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Finding the Third Proportional to 2,087,034,931 and 4,549,070,216

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Solution

The third proportional to 2,087,034,931 and 4,549,070,216 is: 9,915,521,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,034,931 : 4,549,070,216 = 4,549,070,216 : x
  2. Step 2: Convert to fraction form
    2,087,034,931/4,549,070,216 = 4,549,070,216/x
  3. Step 3: Cross multiply
    2,087,034,931x = 4,549,070,216 × 4,549,070,216
  4. Step 4: Simplify right side
    2,087,034,931x = 20,694,039,830,098,288,640
  5. Step 5: Solve for x
    x = 20,694,039,830,098,288,640/2,087,034,931
  6. Step 6: Final answer
    x = 9,915,521,548.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.