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Finding the Third Proportional to 47,459,506,368 and 64,631,746,896

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Solution

The third proportional to 47,459,506,368 and 64,631,746,896 is: 88,017,407,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,459,506,368 : 64,631,746,896 = 64,631,746,896 : x
  2. Step 2: Convert to fraction form
    47,459,506,368/64,631,746,896 = 64,631,746,896/x
  3. Step 3: Cross multiply
    47,459,506,368x = 64,631,746,896 × 64,631,746,896
  4. Step 4: Simplify right side
    47,459,506,368x = 4,177,262,706,828,605,652,992
  5. Step 5: Solve for x
    x = 4,177,262,706,828,605,652,992/47,459,506,368
  6. Step 6: Final answer
    x = 88,017,407,396.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.