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Finding the Third Proportional to 21,073,829,373 and 45,506,461,665

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Solution

The third proportional to 21,073,829,373 and 45,506,461,665 is: 98,265,864,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073,829,373 : 45,506,461,665 = 45,506,461,665 : x
  2. Step 2: Convert to fraction form
    21,073,829,373/45,506,461,665 = 45,506,461,665/x
  3. Step 3: Cross multiply
    21,073,829,373x = 45,506,461,665 × 45,506,461,665
  4. Step 4: Simplify right side
    21,073,829,373x = 2,070,838,053,268,114,636,800
  5. Step 5: Solve for x
    x = 2,070,838,053,268,114,636,800/21,073,829,373
  6. Step 6: Final answer
    x = 98,265,864,101.63

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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.