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Finding the Third Proportional to 211,638,720 and 453,510,528

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Solution

The third proportional to 211,638,720 and 453,510,528 is: 971,806,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,638,720 : 453,510,528 = 453,510,528 : x
  2. Step 2: Convert to fraction form
    211,638,720/453,510,528 = 453,510,528/x
  3. Step 3: Cross multiply
    211,638,720x = 453,510,528 × 453,510,528
  4. Step 4: Simplify right side
    211,638,720x = 205,671,799,006,838,784
  5. Step 5: Solve for x
    x = 205,671,799,006,838,784/211,638,720
  6. Step 6: Final answer
    x = 971,806,099.60

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Why These Related Problems?

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