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Finding the Third Proportional to 716,891,806 and 1,107,174,962.50

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Solution

The third proportional to 716,891,806 and 1,107,174,962.50 is: 1,709,932,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,891,806 : 1,107,174,962.50 = 1,107,174,962.50 : x
  2. Step 2: Convert to fraction form
    716,891,806/1,107,174,962.50 = 1,107,174,962.50/x
  3. Step 3: Cross multiply
    716,891,806x = 1,107,174,962.50 × 1,107,174,962.50
  4. Step 4: Simplify right side
    716,891,806x = 1,225,836,397,586,876,416
  5. Step 5: Solve for x
    x = 1,225,836,397,586,876,416/716,891,806
  6. Step 6: Final answer
    x = 1,709,932,220.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.