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Finding the Third Proportional to 904,791,808.13 and 1,952,492,038.13

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Solution

The third proportional to 904,791,808.13 and 1,952,492,038.13 is: 4,213,372,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,791,808.13 : 1,952,492,038.13 = 1,952,492,038.13 : x
  2. Step 2: Convert to fraction form
    904,791,808.13/1,952,492,038.13 = 1,952,492,038.13/x
  3. Step 3: Cross multiply
    904,791,808.13x = 1,952,492,038.13 × 1,952,492,038.13
  4. Step 4: Simplify right side
    904,791,808.13x = 3,812,225,158,941,516,288
  5. Step 5: Solve for x
    x = 3,812,225,158,941,516,288/904,791,808.13
  6. Step 6: Final answer
    x = 4,213,372,761.23

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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.