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Finding the Third Proportional to 4,602,937,742 and 9,924,345,454

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Solution

The third proportional to 4,602,937,742 and 9,924,345,454 is: 21,397,776,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,937,742 : 9,924,345,454 = 9,924,345,454 : x
  2. Step 2: Convert to fraction form
    4,602,937,742/9,924,345,454 = 9,924,345,454/x
  3. Step 3: Cross multiply
    4,602,937,742x = 9,924,345,454 × 9,924,345,454
  4. Step 4: Simplify right side
    4,602,937,742x = 98,492,632,690,330,468,352
  5. Step 5: Solve for x
    x = 98,492,632,690,330,468,352/4,602,937,742
  6. Step 6: Final answer
    x = 21,397,776,422.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.