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Finding the Third Proportional to 721,814,812 and 1,547,224,624

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Solution

The third proportional to 721,814,812 and 1,547,224,624 is: 3,316,507,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,814,812 : 1,547,224,624 = 1,547,224,624 : x
  2. Step 2: Convert to fraction form
    721,814,812/1,547,224,624 = 1,547,224,624/x
  3. Step 3: Cross multiply
    721,814,812x = 1,547,224,624 × 1,547,224,624
  4. Step 4: Simplify right side
    721,814,812x = 2,393,904,037,111,941,120
  5. Step 5: Solve for x
    x = 2,393,904,037,111,941,120/721,814,812
  6. Step 6: Final answer
    x = 3,316,507,222.23

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