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Finding the Third Proportional to 10,076,034,339 and 21,864,791,484

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Solution

The third proportional to 10,076,034,339 and 21,864,791,484 is: 47,446,156,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076,034,339 : 21,864,791,484 = 21,864,791,484 : x
  2. Step 2: Convert to fraction form
    10,076,034,339/21,864,791,484 = 21,864,791,484/x
  3. Step 3: Cross multiply
    10,076,034,339x = 21,864,791,484 × 21,864,791,484
  4. Step 4: Simplify right side
    10,076,034,339x = 478,069,106,638,798,913,536
  5. Step 5: Solve for x
    x = 478,069,106,638,798,913,536/10,076,034,339
  6. Step 6: Final answer
    x = 47,446,156,945.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.