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Finding the Third Proportional to 3,648,756,495 and 7,966,331,466

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Solution

The third proportional to 3,648,756,495 and 7,966,331,466 is: 17,392,894,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,756,495 : 7,966,331,466 = 7,966,331,466 : x
  2. Step 2: Convert to fraction form
    3,648,756,495/7,966,331,466 = 7,966,331,466/x
  3. Step 3: Cross multiply
    3,648,756,495x = 7,966,331,466 × 7,966,331,466
  4. Step 4: Simplify right side
    3,648,756,495x = 63,462,437,026,181,709,824
  5. Step 5: Solve for x
    x = 63,462,437,026,181,709,824/3,648,756,495
  6. Step 6: Final answer
    x = 17,392,894,569.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.