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Finding the Third Proportional to 9,829,666,294 and 21,662,931,597

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Solution

The third proportional to 9,829,666,294 and 21,662,931,597 is: 47,741,458,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,666,294 : 21,662,931,597 = 21,662,931,597 : x
  2. Step 2: Convert to fraction form
    9,829,666,294/21,662,931,597 = 21,662,931,597/x
  3. Step 3: Cross multiply
    9,829,666,294x = 21,662,931,597 × 21,662,931,597
  4. Step 4: Simplify right side
    9,829,666,294x = 469,282,605,376,300,974,080
  5. Step 5: Solve for x
    x = 469,282,605,376,300,974,080/9,829,666,294
  6. Step 6: Final answer
    x = 47,741,458,493.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.