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Finding the Third Proportional to 767,708,500 and 1,657,746,488

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Solution

The third proportional to 767,708,500 and 1,657,746,488 is: 3,579,644,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,708,500 : 1,657,746,488 = 1,657,746,488 : x
  2. Step 2: Convert to fraction form
    767,708,500/1,657,746,488 = 1,657,746,488/x
  3. Step 3: Cross multiply
    767,708,500x = 1,657,746,488 × 1,657,746,488
  4. Step 4: Simplify right side
    767,708,500x = 2,748,123,418,476,334,080
  5. Step 5: Solve for x
    x = 2,748,123,418,476,334,080/767,708,500
  6. Step 6: Final answer
    x = 3,579,644,381.27

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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.